To find: the product of two polynomials (8y-7) and (2y^{2}+7y-3) using indicated operation.

Josalynn 2021-08-02 Answered
To find:
The product of two polynomials (8y7) and (2y2+7y3) using indicated operation.
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Expert Answer

Benedict
Answered 2021-08-03 Author has 108 answers
Concept:
Multiplication of polynomials:
1) To find the product of two polynomials, distribute each term of one polynomial, multiplying by each term of other polynomial.
2) Another method is to write such a product vertically, similar to the method used in arithmetic for multiplying whole numbers.
Calculation:
Given that (8y7)(2y2+7y3)
To find the product of two polynomials (8y7) and (2y2+7y3), is to distribute each term of (8y7), multiplying by each term of (2y2+7y3)
=8y(2y2+7y3)7(2y2+7y3)
=16y3+56y224y14y249y+21 [Distributive law]
=16y3+(56y214y2)+(24y49y)+21 [Grouping like terms]
=16y3+42y273y+21 [adding coefficients of like terms]
Final statement:
Therefore, (8y7)(2y2+7y3)=16y3+42y273y+21
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Jeffrey Jordon
Answered 2022-07-06 Author has 2262 answers

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