P ( x ) is a polynomial and it is equal to 2 x 3 </msup> + 2 a

doodverft05

doodverft05

Answered question

2022-06-24

P ( x ) is a polynomial and it is equal to 2 x 3 + 2 a x 2 + b x + c . It is given that P ( x ) can be divided by ( x 1 ) 3 with zero remainder. Then , what is c?

Answer & Explanation

marktje28

marktje28

Beginner2022-06-25Added 22 answers

Assume a zero of order p for the function f ( x )
This implies that we can write f ( x ) = ( x x 0 ) p g ( x )
Now, look at the derivative. f ( x ) = p ( x x 0 ) p 1 g ( x ) + ( x x 0 ) p g ( x )
For p = 2 we see that the second order zero will result in f ( x = x 0 ) = 0. You can repeat the same logic for higher order zeros.

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?