Use synthetic division to divide x^3-8x^2+9x-5 by x-3

Answers

Answer 1

Answer:

x^2 - 6x - 6, remainder -23

Step-by-step explanation:

Start like this:

              3    |     1      -8      9     -5

                    |

                   --------------------------------      

First step is to copy the 1 to below the line.

              3    |     1      -8      9     -5

                    |

                   --------------------------------      

                           1

Now multiply 3 by 1 and write below the -8. Then add the product to the -8 and write the sum below the line.

              3    |     1      -8      9     -5

                    |              3

                   --------------------------------      

                           1     -5

Now multiply 3 by -5 and write below the 9. Then add the product to the 9 and write the sum below the line.

              3    |     1      -8      9     -5

                    |              3    -15

                   --------------------------------      

                           1     -5     -6

Now multiply 3 by -6 and write below the -5. Then add the product to the -5 and write the sum below the line.

              3    |     1      -8      9     -5

                    |              3    -15    -18

                   --------------------------------      

                           1     -5     -6     -23

Answer: x^2 - 6x - 6, remainder -23

Answer 2

The solution is, x^2 - 6x - 6, and, the  remainder -23.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

divide x^3-8x^2+9x-5 by x-3

Start like this:

             3    |     1      -8      9     -5

                   |

                 --------------------------------      

First step is to copy the 1 to below the line.

             3    |     1      -8      9     -5

                   |

                  --------------------------------      

                          1

Now multiply 3 by 1 and write below the -8. Then add the product to the -8 and write the sum below the line.

             3    |     1      -8      9     -5

                   |              3

                  --------------------------------      

                          1     -5

Now multiply 3 by -5 and write below the 9. Then add the product to the 9 and write the sum below the line.

             3    |     1      -8      9     -5

                   |              3    -15

                  --------------------------------      

                          1     -5     -6

Now multiply 3 by -6 and write below the -5. Then add the product to the -5 and write the sum below the line.

             3    |     1      -8      9     -5

                   |              3    -15    -18

                  --------------------------------      

                          1     -5     -6     -23

Hence, Answer: x^2 - 6x - 6, remainder -23

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Related Questions

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I think its A not sure though
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Which of these is a pair of adjacent angles?

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Answer:

Answer A

as taught to us till now

A tree is standing behind a building and 2/5 of the tree can bee seen what is is the height of the building behind that building is a building with a height 12 m

Answers

Answer:

30m

Step-by-step explanation:

Here is the complete question

A tree is standing behind a building. 2/5th of the height of the tree can be seen and the rest is hidden by the building. The building is 12 metres high. What is the height of the tree?

If 2/5 of the tree can be seen the tree covers ( 1 - 2/5) 3/5 of the tree. If the  building is 12 metres high, it means that 2/5 of the building is 12m high

the height of the tree = 12 x (5/2) = 30m

Factor fully. Pls help

Answers

Answer:

(2x+9)^2

Step-by-step explanation:

Factor the equation by using the perfect square rule: a^2+2ab+b^2=(a+b)^2 or a^2-2ab+b^2=(a-b)^2 depending on the trinomial

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Answer: income

Step-by-step explanation: i just remembered it

Hope this helps and your welcome

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obsession

Step-by-step explanation:

What is the area of the obtuse triangle?

Answers

Answer:

C

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 14 and h = 8 , then

A = [tex]\frac{1}{2}[/tex] × 14 × 8 = 7 × 8 = 56 in² → C

Factor completely
16x^2y^4z^3+33xy^8z^5​

Answers

Answer:

xy^4 z^3 ( 16x + 33y^4 z^2)

Step-by-step explanation:

step 1 : see what variable you can take out , start with x see if there is x in the left and right side. and how many time you can take it out

next y same thing and then last z

with x = left side you x^2 and right side you have x = so u can take x out once left you with x

with y = left side y^4 and right side y^8 so you can take out y ^4 out left you with y^4

with z = left side z^3 and right side z ^5 you can take out z^3 left you with z^2

18 entre 12 (división) Porfa respondan, mi ama me pega con la chancla si no lo hago,, es lo único que me faltam

Answers

Answer:

Step-by-step explanation:

18 dividido por 12 es 1.5 , esto se puede probar haciendo division larga o multiplicando 1.5 por 12

1.5 * 12 = 18

Espero que te haya ayudado la respuesta y que ahores el chancletazo.

What is this expression in simplified form?(8✓10)(8✓5)

Answers

Answer:

80 and 90

Step-by-step explanation:

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Answers

Answer:

3 also i have brain fart rn help

Step-by-step explanation:

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divide tomato genome and human genome and you'll get

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standard form is

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What is the arc measure of minor arc AB on circle P in degrees?

Answers

Answer:

AB = 74°

Step-by-step explanation:

Minor arc AB is equal to the measure of the central angle APB , then

∠ APB = 360° - 286° = 74° , thus

minor arc AB = 74°

Arc measure of minor arc AB on circle P =  74 degrees

In the given circle,

Arc measure of major arc = 286 degree

Since we know that,

Measure of complete circle = 360 degree

Therefore,

Angle of minor sector = 360 - 286

                                     = 74 degree

We also know that,

A circle sector is a segment or component of a circle made up of an arc and its two radii. A circle's sector can be compared to the form of a pizza slice. A sector is generated when two circle radii meet at both ends of an arc. An arc is merely a part of the circle's circumference.

Since,

Angle of sector = measure of arc

Hence,

Measure of minor arc = 74 degree.

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What is the product of (x − 3) and (x + 7)? A. x^2 + 4x − 21 B. x^2 − 4x − 21 C. x^2 − 10x − 21 D. x^2 + 10x − 21

Answers

Answer: (x−3)(x+7)

Step-by-step explanation:

=(x+−3)(x+7)

=(x)(x)+(x)(7)+(−3)(x)+(−3)(7)

=x^2+7x−3x−21

=x^2+4x−21

Answer:

A. X^2+4x-21

Step-by-step explanation:

(x−3)(x+7)

=(x+−3)(x+7)

=(x)(x)+(x)(7)+(−3)(x)+(−3)(7)

=x2+7x−3x−21

=x2+4x−21

I hope this helps :) I got it CORRECT also i added the Steps if your teacher asked for steps :)

Given that QRSTU = QXWTU, find measure of angle x.
A. 45°
B. 90°
C. 135°
D. 150°

Answers

Answer:

C

Step-by-step explanation:

Since the figures are congruent then corresponding angles are congruent.

Then ∠ X = ∠ R , that is

∠ X = 135° → C

please help me solve this. ill award brainliest! please just explain how to solve and what it should be. ​

Answers

Answer:

3 - that is if all of those say 7 because some have a line through and some dont.  

Step-by-step explanation:

Download photomath. You take a photo of the math problem and it gives the answer plus steps to solve.

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Answers

Answer:

900<x<1100

Step-by-step explanation:

The third side must be greater than the difference of the other two sides

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9000< 10x

Divide by 10

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900 < x

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Divide by 10

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1100>x

900<x<1100

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Answers

You use 360 and then minus other numbers

Please help ASAP!
Two
angles, ZJ and ZK are supplementary. The measure of ZJ is (2x+5)°. The
measure of ZK is (3x-10)°. What is the measure of ZK?

Answers

Answer:

ZK = 95 degrees

Step-by-step explanation:

Supplementary angles are when the sum of 2 angles equals 180 degrees. Since ZJ and ZK are supplementary, we can add both of them to equal 180 degrees.

ZJ + ZK = 180

Our first objective: find the value of x

(2x + 5) + (3x - 10) = 180

2x + 5 + 3x - 10 = 180

Combine like terms

5x - 5 = 180

Add 5 to both sides to isolate variable x

5x = 175

Divide both sides by 5 to isolate variable x

x = 35

Plug in x value for ZK expression

3(35) - 10

Use PEMDAS

105 - 10

95

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98 cm squared
34 cm squared
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Answers

Answer:

Option (1)

Step-by-step explanation:

Area of the composite figure ABCDEFGH = Area of rectangle ABGH - Area of rectangle CDEF

Area of rectangle ABGH = Length × Width

                                         = 14 × 7

                                         = 98 cm²

Area of rectangle CDEF = 9 × (7 - 4)

                                        = 27 cm²

Area of the composite figure = 98 - 27

                                                = 71 cm²

Option (1) is the correct option.

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

-3 & -12

Step-by-step explanation:

-3 * -5 =36

negative multiplied by a negative it will give you a positive

-3+(-5)=-15

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Answers

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Step-by-step explanation:

DFE are all correct and the other numbers are placed well.

Step-by-step explanation:

C, because 58 can't equal 40

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Answer: $906.51

Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Between which two points can you draw a line with a negative slope? Pls answer quick

Answers

Answer:

Between A and C.

Step-by-step explanation:

A negative slope rises to the left  (\).

Answer:

a line between a and c

Step-by-step explanation:

if you were to draw a line between point a and point c the slope would be [tex]-\frac{3}{4}[/tex]

A square pyramid has a base
edge of 5.5 yards and a height
of 3.25 yards. What is the
volume of the pyramid to the
nearest tenth of a yard?

Answers

Answer:

V≈25.06m³

Step-by-step explanation:

Unit Conversion:

a≈5.03m

h≈2.97m

Solution

V=a2h 3=5.032·2.97 3≈25.0551m³

Express the function.
f(x) = 2x² - 4x - 13
in the form f(x) = a(x + h)² + k​

Answers

Answer:

2(x-1)^2-15

Step-by-step explanation:

2x^2-4x=2(x-1)^2-2

insert that in:

f(x)=2(x-1)^2-2-13=2(x-1)^2-15

a=2,h=-1,k=-15

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