Question

is (x+2) be factor of 4x4+2x3-3x2+8x-20

Answer 1

if x+2 is factor than x-2 will be zedo

Answer 2

$\textbf{ANSWER:}$

f(x) = x + 2
p(x) = 4x^4 + 2x^3 - 3x^2 + 8x - 20 ....(2)

To check if f(x) is a factor of p(x), we need to divide them.

x + 2 = 0

x = (-2) ....(1)

Putting (1) in (2):

$4 {( - 2)}^{4} + 2 {( - 2)}^{3} - 3 {( - 2)}^{2} + 8( -2) - 20 \\ \\ = > 64 - 16 - 12 - 16 - 20 \\ \\ = > 0$


THEREFORE, f(x) is a factor of p(x).