If a polynomial p(x) is divided with a polynomial (x

hunterofdeath63 2021-12-15 Answered
If a polynomial p(x) is divided with a polynomial (x + 3) using long division and the quotient is 2x2x+1. Find p(x).
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Expert Answer

Steve Hirano
Answered 2021-12-16 Author has 34 answers
Step 1: Given that:
If a polynomial p(x) is divided with a polynomial (x + 3) using long division and the quotient is 2x2+x+1. Find p(x).
Step 2: Formula Used:
Dividend = Divisior × Quotient + Remainder
or
p(x)=g(x)×q(x)+r(x)
Step 3: Calculation
We have,
g(x)=x+3
q(x)=2x2+x+1
r(x)=0
So by the formula used we have,
p(x)=(x+3)(2x2+x+1)+0
=2x3+x2+x+6x2+3x+3
=2x3+7x2+4x+3

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