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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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
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Units Conversion
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Answers
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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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Answers
I'm assuming you're asking for x.
Answer: -1/4 and 21/4
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∣10−4x∣=9+2
Step 2: You can get two equations from this.
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Solve both equations.
1st equation:
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2nd equation:
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Answer:
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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.
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Answer:
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Answers
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Step-by-step explanation:
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Answers
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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Answers
-3(12+5) = -3(12)-(-3)(5)
Step-by-step explanation:
the distributive property is distributing the -3 to each number
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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