Question

Please help me

find the value of c so that (x+1) is a factor of the polynomial p(x) p(x)=cx^4+2x^2-13

Answer 1

c = 11

Explanation:

If (x + 1) is a factor of p(x) then x = - 1 is a root and

p(- 1) = 0, hence

c
`(-1)^(4)` + 2(- 1)² - 13 = 0

c + 2 - 13 = 0

c - 11 = 0 ( add 11 to both sides )

c = 11