how do I factor trinomials of a form ax^2+bx+c when a=1

In one paragraph

Answers

Answer 1

Answer:

Trinomials in the form [tex]x^2+bx+c[/tex] can often be factored as the product of two binomials.

Step-by-step explanation:

As we know that a polynomial with three terms is said to be a trinomial.

Considering the trinomial of a form

[tex]ax^2+bx+c[/tex]

As

a = 1

so

[tex]x^2+bx+c[/tex]

Trinomials in the form [tex]x^2+bx+c[/tex] can often be factored as the product of two binomials.

For example,

[tex]x^2+7x+10[/tex]

[tex]=\left(x^2+2x\right)+\left(5x+10\right)[/tex]

[tex]=x\left(x+2\right)+5\left(x+2\right)[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}x+2[/tex]

[tex]=\left(x+2\right)\left(x+5\right)[/tex]

Therefore, Trinomials in the form [tex]x^2+bx+c[/tex] can often be factored as the product of two binomials.


Related Questions

Describe a situation in which you could use scaling to solve a real-world problem.

Please help due at 11:59 !! I'll mark brainlest !

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Answer:

You want to know how much lager a full sized candy bar is to see if you are getting a good price.

Step-by-step explanation:

help i will mark brainlist if i cannn

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Answer:

B

Step-by-step explanation:

Answer:

a. 1 and 1/4.

Step-by-step explanation:

I simplified it.

Please mark me brainliest!

What is 83 1/3% of 30

Answers

answer: 25

step by step explanation:
yw
hope this helps
give brainliest plz

PLEASE HELP MEEEEEEE

Answers

Answer:

triangle BFD

75 degrees

I believe Triangle BFD

Find the number if 5/6 of it is 55.

Answers

Answer:

The unknown number is 66.

Step-by-step explanation:

We know that we need to find the number that is 55 when calculated as 5/6 or the whole number. First, we must divide 55 by 5.

55 ÷ 5 = 11

This means that 1/6 of the unknown number is 11.

Now, let's multiply 11 by 6.

11 x 6 = 66

Therefore, the unknown number is 66.

Hope this helps! :)

Another number of the given question is 66

Given that;

Product of two given number = 55

One number = 5/6

Find:

Another number

Computation:

Product of two given number = One number × Another number

n × 5/6 = 55

n = [55][6] / 5

n = 66

Another number = 66

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I need help with this

Answers

Answer:

A. 63 degrees

Step-by-step explanation:

Since the triangles are congruent so are the angles and the angle C is the same as angle F as stated by the question so they have the same angle measurement, therefore your answer is 63 degrees.

a company’s stock was selling at 35$ a share. a month later it was selling at 14$ a share. what is the percent loss?

Answers

Answer:

60%

Step-by-step explanation:

its right

If a company’s stock was selling at 35$ a share. a month later it was selling at 14$ a share then the percent of loss is 60%.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that a company’s stock was selling at 35$ a share.

After a month later it was selling at 14$ a share.

We need to find the percent of loss.

Original share price=35

new share price=14

We calculate the percentage by finding the difference and dividing the difference with the original share price.

35-14/35

0.6

Now multiply this 0.6 with 100 as it is a hundredth part.

0.6×100

60%

Hence, if a company’s stock was selling at 35$ a share. a month later it was selling at 14$ a share then the percent of loss is 60%.

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omar buys a pack of 8 towels for 24.00 find the unit price in dollar per towel

Answers

Answer:

um 3

Step-by-step explanation:

whats 24 divided by 3 mate? 3

i mean all u need is a calculator im dumb as hell and i know that...

hope...this helps you :) have a great day

3 nBAHAHAHAHAHAAH yeah I’m drunk sorry

A 50-foot flagpole near an office building casts a shadow
that is 12.5 feet long. At the same time, the office building
casts a shadow that is 50 feet long. How tall is the office
building?

Answers

Step-by-step explanation:

Here are some hints: "At the same time,"means you need to set up a proportion (two ratios equal each other).

The shadow is always on the ground.

A person and a flagpole always stands up straight, like a wall (vertical height)

Underline key words and numbers. Draw a picture for sure.

|

|X 5.5 ft. |

|____________ |____

flagpole=50 feet person's shadow=4 feet

shadow

Since it is easier to work with one type of measurement, change the person's height to feet only. The person is 5feet, 6inches Note: 12 inches= 1 foot, so 6 inches= 1/2 a feet and 6 inches= .5 feet

Calculate the volume of this regular solid.

B

What is the volume of the cylinder?

Use the n button on your calculator to complete this

problem

Round at the end to the nearest hundredth.

cm

13 cm

4 cm

Answers

Answer:

653.45 cm³

Step-by-step explanation:

The diagram of the cylinder is shown in the attachment.

Radius of cylinder (r) = 4 cm

Height of cylinder (h) = 13 cm

Volume of a cylinder = πr²h

Plug in the values

Volume = π × 4² × 13

Volume = π × 208

Volume = 653.45 cm³ (nearest hundredth)

Answer: 653.45

Step-by-step explanation:

it works on edge2022, and will work for any year

Use substitution to find an exponential function, y= a - b" that passes through
(2, 16) and (5, 1.024).

Answers

Answer:

[tex]y = 4^x[/tex]

Step-by-step explanation:

Given

[tex](2,16)[/tex]

[tex](5,1,024)[/tex]

Required

Determine the exponential function [tex]y = a.b^x[/tex]

In [tex](2,16)[/tex]

[tex]x=2[/tex] and [tex]y = 16[/tex]

Substitute these values in [tex]y = a.b^x[/tex]

[tex]16 = a.b^2[/tex] --- (1)

In [tex](5,1,024)[/tex]

[tex]x = 5[/tex] and [tex]y = 1024[/tex]

Substitute these values in [tex]y = a.b^x[/tex]

[tex]1024 = a.b^5[/tex] --- (2)

Divide (2) by (1)

[tex]\frac{1024}{16} = \frac{a.b^5}{a.b^2}[/tex]

[tex]\frac{1024}{16} = \frac{b^5}{b^2}[/tex]

[tex]64 = \frac{b^5}{b^2}[/tex]

Apply second law of indices

[tex]64 = b^{5-2[/tex]

[tex]64 = b^3[/tex]

Express 64 as an exponent of 3

[tex]4^3 = b^3[/tex]

[tex]4 = b[/tex]

[tex]b = 4[/tex]

Substitute 4 for b in (1)

[tex]16 = a.b^2[/tex]

[tex]16 = a * 4^2[/tex]

[tex]16 = a * 16[/tex]

[tex]16 = 16a[/tex]

Solve for a

[tex]a=\frac{16}{16}[/tex]

[tex]a = 1[/tex]

Substitute 1 for a and 4 for b in [tex]y = a.b^x[/tex]

[tex]y = 1 * 4^x[/tex]

[tex]y = 4^x[/tex]

The exponential function is given by y = 100(0.4)ˣ

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the factor.

At point (2, 16):

16 = ab²      (1)

At point (5, 1.024):

1.024 = ab⁵      (2)

Dividing equation 2 by equation 1:

b³ = 0.064

b = 0.4

16 = a(0.4)²

a = 100

The exponential function is given by: y = 100(0.4)ˣ

Find out more at: https://brainly.com/question/12490064

A line passes through the point (6, -8) and has a slope of -3/2
Write an equation in slope-intercept form for this line.

Answers

Use y=mx + b, which is slope intercept form

b = y intercept(when x=0)
m = slope

You need to find the y intercept. Use your coordinates and substitute it in the slope intercept equation.

we use (6, -8)

y = mx + b

Then, -8 = -3/2(6) + b

-8 = -9 + b
1 = b

Thus,

y = -3/2x + 1


What does 3x(5)+(-5) equal

Answers

The answer is 15x-5

Hope this helps

Help please if you can

Answers

Answer: mutiply x by itself to get y

Step-by-step explanation:

15 time the difference of 14 and 6

Answers

Answer:

120

Step-by-step explanation:

14-6=8x15=120

15 • (14-6)
15 • 8
=120

Shaq invested $900 into a savings account that pays annual simple interest. At the end of 9 years, he earned $461.70 in interest. What is the interest rate on the savings account? Round to the nearest tenth of a percent.​

Answers

Answer:

Interest = $900 * x * 9 years with "x" = interest rate

If interest = 461.70 then

461.70 = 900 * 9 * x

x = 461.70 / 8,100

x = interest rate = .057 = 5.7%

Double Check

Interest rate of 5.7 per cent equals

.057 * 900 = $51.30 per year

Nine Years = 9 * 51.30 equals 461.70

So, it's correct!!!

Step-by-step explanation:

someone help me find x please!

Answers

X is equal to 28 and Y is equal to 23

Write an equation in slope intercept form using the information below.

Answers

We want the equation in the form y = mx + b.

We are given that m = -7.

The y-intercept (our b) is 8.

Here it is:

y = -7x + 8

PLS Help .Kennedy Middle School is having a Halloween celebration. Students visit each classroom and solve math problems to get candy. For each problem they solve correctly, they earn 8 pieces of candy. Jack's teacher gave him 4 pieces of candy to start with. Jack's goal is to get at least 60 pieces of candy. Graph on the number line the number of problems Jack will need to solve correctly to meet his goal.

Answers

Answer:

Ok im too too sure but I think that it is the one with the filled in dot -->

Step-by-step explanation:

How would you simplify 3/16 times 6/11 before finding the product

Answers

answere:

You can't simplify

explanation:

there is no need to simplify because 3/16 and 6/11 is the simplest form.

Determine the degree of each monomial.

Answers

Answer:

Step-by-step explanation:

4= 0 degree

2z= 1 degree

4r^2st^3= 6 degree

3xyz^2= 4 degree

what is next in the sequence ? 17, 13, 9, 5​

Answers

Answer:

1

Step-by-step explanation:

It is being subtracted by four everytime

Using the slope formula, find the slope of the line through the points (0,0) and (4,12).

Answers

I think it’s 4/12 I’m not sure tho

Answer:

3

Step-by-step explanation:

slop of given point is 3

HELP PLease! 40 points!!!!

Answers

Answer:

D. 480 ft

Step-by-step explanation:

Let the sides of triangle be a, b and c

Perimeter

P = a + b+ c = 40

New sides

12a, 12b and 12c

New perimeter

Pn = 12a + 12b + 12c = 12(a+b+c) = 12*40 = 480 ft

Correct choice is D

3x²+2x²+x-2 divided x+2​

Answers

Answer:

3x^2-4x+9 remainder -20/x+2

Step-by-step explanation:

Find the slope of the line without graphing using the 2 points below.




(-2 , 1) & (-5 , 5)

m=____

Answers

Answer:

-4/3

Step-by-step explanation:

m = slope = (difference in y)/(difference in x)

m = (y2 - y1)/(x2 - x1)

m = (5 - 1)/(-5 - (-2))

m = 4/(-5 + 2)

m = -4/3

Plz help fast!!!!!!!

Answers

Answer:

90=square

72=nonagon

60=hexagon

45=pentagon

40=octagon

I am not entirely sure tho

A pool is in the shape of a rectangular prism. On Monday, water was pumped out of the pool at a constant rate, starting at 12:00 p.m. At 12:15 pm, the water in the pool was 45 inches deep. At 12:25 p.m., the water in the pool was 41 inches deep. Write an equation that represents y, the depth of the water (in inches), after x minutes.

Answers

Answer:

y = 51-0.4x

Step-by-step explanation:

From the question, we can see that the amount of water left in the pool was 45 inches deep within 12:15-12:00 = 15 minutes

However, within 10 minutes there was a loss of 45-41 = 4 inches

So what this means is that per minute, the amount of loss expected is 4 inches/10 minutes = 0.4 inches per minute

what we are saying is that a loss of 4 inches depth of water is needed per minute

So we want to write an equation, representing the depth after x minutes

So what we have here is that the total inches at present will be;

45 + 0.4(15) = 45 + 6 = 51 inches

The pool was 51 inches deep initially before the pumping out began

That will be;

y = 51-0.4x

where is the depth and x is the number of minutes

Answer:

24 inches

Step-by-step explanation:

Find the slope of the question y=5

Answers

Answer:

0,5

Step-by-step explanation:

slope: 0

y-intercept:(0,5)

Jose has $4. His mom gives him $2 each time he does his homework. He is saving up to
buy a game that costs $68. How many times does he have to complete his homework in
order to reach this goal?

Answers

Jose has to complete his homework 32 times because you have to subtract the $4 that he already has form the $68 total, we then have to divide $64 and $2 which leaves us with 32.

equation form:
(68-4)/2=32
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