Question

find the value of (a) if (x+a)is a factor of x cube + ax square - 2x +a+4​

Answer 1

Answer:

a = 0

Step-by-step explanation:

p(x) = x^3 +ax^2 + 2x + a + 4

If (x+a) is a factor of p(x), then P(-a) = 0

P(-a) = (-a)^3 + a*(-a)^2 + 2*(-a) + a + 4 = 0

-a - a^3 - 2a + a + 4 = 0

a^3 -2a +3 = 0

a = 0