Question

If x + 2 is factor of x3 + 2ax2 + ax - 1 then value of a is

Answer 1

Step-by-step explanation:

given,

(X)^3+2a(x)^2+ax-1 = f(x) = 0

(x+2) is a factor of f(x)

x+2 = 0

x = -2

substitute x = -2 in polynomial f(x)

f(-2) = (-2)^3+2a(-2)^2+a(-2)-1

0 = -8+8a-2a-1

0 = 6a-9

6a = 9

a = 3/2

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