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Determine if x + 2 is a factor of p(x) = x 4 + 3x 3 + 4x 2 - 8 and explain why.
A lot of points are going to be given, and non serious answers will be reported!

Respuesta :

the Factor Theorem says (x - a) is a factor of function p(x) if p(a)=0

so check for p(-2)

= -2^4 +3(-2)^3 + 4(-2)^2 - 8

= 16 - 24 +16 -8

= 0

so (x + 2) is a factor

The factor theorem states that:

Given a polynomial P(x), (x-a) is a factor of P(x) if and only if P(a) = 0.

How to check if x+2 is a factor of a given polynomial or not?

So from the question, we are given that

P(x)=x4+3x3+4x2−8

and the factor we're testing is

(x+2)

which can be written as (x−(−2))

. From this we can apply the factor theorem:

P(−2)=(−2)4+3(−2)3+4(−2)2−8=0

Hence (x-2) is a factor of P(x).

Learn more about polynomials on : https://brainly.com/question/3382337

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