When a polynomial P(x) is idvided by 2x+1 the quotient is x^2 -x+4 and the remainder is 3 find P(x)

imire37

imire37

Answered question

2022-08-02

When a polynomial P(x) is idvided by 2x+1 the quotient is x 2 x + 4 and the remainder is 3 find P(x)

Answer & Explanation

Gaige Burton

Gaige Burton

Beginner2022-08-03Added 16 answers

We simply set up an equation based on the word problem:
P ( x ) 2 x + 1 = x 2 x + 4 + 3 2 x + 1
P ( x ) = ( x 2 x + 4 ) ( 2 x + 1 ) + 3
= 2 x 3 + x 2 2 x 2 x + 8 x + 4 + 3
= 2 x 3 x 2 + 7 x + 7

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

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

Didn't find what you were looking for?