Consider the polynomial function p ( x ) = − 3 x 3 − 2...

Kade Reese

Kade Reese

Answered

2022-07-19

Consider the polynomial function p ( x ) = 3 x 3 2 x 2 + 2 x 1
Use polynomial long division to perform the indicated division and rewrite the polynomial in the form p(x)=d(x)q(x)+r(x), where d is the divisor, q is the quotient, and r is the remainder.
3 x 3 2 x 2 + 2 x 1 x 2 + 4 x + 4
p(x)=

Answer & Explanation

Shelby Strong

Shelby Strong

Expert

2022-07-20Added 9 answers

We will divide by long division method and write the function in required form.
p ( x ) = 3 x 2 2 x 2 + 2 x 1 x 2 + 4 x + 4 3 x 3 2 x 2 + 2 x 1 3 x + 10 3 x 3 12 x 2 12 x 10 x 2 + 14 x 1 10 x 2 + 40 x + 40 24 x 41
Here divisor ( d ( x ) ) = x 2 + 4 x + 4
quotient ( q ( x ) ) = 3 x + 10
remainder r ( x ) = 24 x 41
Therefore p(x) is
p ( x ) = ( x 2 + 4 x + 4 ) ( 3 x + 10 ) + ( 24 x 41 )

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?