HELP PLEASE PLEASE 50 PTS
The polynomial is missing the coefficient of the third and last terms.
729x3 – 1,458x2y + ____xy2 – ____y3
If the polynomial is factorable using the binomial theorem, what is the coefficient of xy2?
324
648
972
1,944
Answers
Answer:
C
Step-by-step explanation:
Ed2021
The missing coefficient of xy² is 972, option C is correct.
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given polynomial is 729x³ – 1,458x²y + ____xy² – ____y³
To find the missing coefficients, we can use the fact that the polynomial is factorable using the binomial theorem.
According to the binomial theorem, the expansion of (a + b)^3 is:
(a + b)³ = a³ + 3a²b + 3ab² + b³
Comparing this with the given polynomial, we can see that a = 9x and b = -2y.
Substituting these values in the binomial theorem, we get:
(9x - 2y)³ = (9x)³ + 3(9x)²(-2y) + 3(9x)(-2y)² + (-2y)³
Simplifying this expression, we get:
729x³ - 1,458x²y + 972xy² - 8y³
Therefore, the missing coefficient of xy² is 972, option C is correct.
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Related Questions
Rosita is making pizzas for a party. Each pizza requires 1 cups of sauce and 1 cups
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Answers
Answer:
8 pizzas
Step-by-step explanation:
I cAn Do mAtH!!
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She can only make 8 pizzas.
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Step-by-step explanation:
Given parameters:
Selling price = $19.95
Discount percentage = 15%
Unknown:
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Solution:
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|10-4x|-2=9
Please help
Answers
I'm assuming you're asking for x.
Answer: -1/4 and 21/4
Step 1: Add 2 to both sides of the equation.
∣10−4x∣=9+2
Step 2: You can get two equations from this.
10−4x=11 and -(10-4x)=11−(10−4x)=11
Solve both equations.
1st equation:
−4x=11−10
−4x=1
x=-1/4
2nd equation:
−10+4x=11
4x−10=11
4x=11+10
4x=21
x=21/4
Answer:
[tex]x=-\frac{1}{4} , \frac{21}{4}[/tex]
Step-by-step explanation:
Isolate the absolute value signs by adding 2 to both sides of the equation.
[tex]|10-4x|=11[/tex]Create a positive and negative case to solve for absolute value problems.
[tex]10-4x=11 \\ 10-4x=-11[/tex]Subtract 10 from both sides of both equations.
[tex]-4x=1 \\ -4x=-21[/tex]Divide both sides of each equation by -4 in order to isolate and solve for x.
[tex]x=\frac{1}{-4} \\ x= \frac{-21}{-4}[/tex]Simplify these x-values by canceling out the negative sign (2 negatives = 1 positive).
[tex]x= -\frac{1}{4} \\ x = \frac{21}{4}[/tex]x = -1/4 and 21/4 are the solutions to this equation.
Help!!!!
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answer:
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Answers
Answer:
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Step-by-step explanation:
let the height = x yards.
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Divide: 814 by 3.7
To make 3.7 a whole number, multiply by
.
If 3.7 becomes 37, then 814 becomes
.
The quotient is
.
Answers
Answer:
here!!! I hope this helps you all :))
The quotient of the divided numbers is:
220
What are whole numbers?
Whole numbers is a set of numbers which consists of positive integers and zero. Fractions are not represented as whole numbers.
For ex: [0,1,2,3,4,5,6,7,8,9....] is a set of numbers without any negative number and fraction.
Given:
Divide 814 ÷ 3.7
Hence, we need to multiply a number to 3.7 in order to make it a whole number.
Step 1:
So multiply and divide by number 10
814 × 10 ÷3.7 × 10 = 37
Now we got the number 37 and 814 becomes 8140
Step 2:
We divide both the changed numbers:
8140 ÷ 37
Hence we get the quotient as 220
Learn more about "whole number divisions" here-brainly.com/question/407943
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Answers
Answer:
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Step-by-step explanation:
Kevin’s school is 5.2 miles away from his house. How far is this in yards? Do not round your answer. _________ yards
Answers
Answer :1,760 1,760 1,760 1,760 1,760
Answer:
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Step-by-step explanation:
Units Conversion
Some common length units are meters, centimeters, inches, feet, miles, kilometers, and yards.
There are fixed numbers to convert one into another. For example:
1 mile = 1,760 yards
Since Kevin's school is 5.2 miles away from his house, that distance converted to yards is:
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The distance between Kevin's school and his house is 9,152 yards
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Answer:
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Step-by-step explanation:
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solve the equation
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Answer:
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Step-by-step explanation:
24 divided by -12
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Answers
Answer:
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Step-by-step explanation:
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