Question

If x- a is a factor of x3 - a2x +x+2 then find the value of a

Answer 1

Answer:

-2

Step-by-step explanation:

x³-a²x+x+2=0

a³-a²*a+a+2=0

a³-a³+a+2=0

a+2=0

a=-2

Answer 2

Answer:

Let f(x) = x^3 - ax² + x + 2.

Given (x - a) is the factor of f(x), by cor. 2 to factor theorem, f(x) = 0

a^3 - a.a² + a + 2 = 0

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

a + 2 = 0

a = -2.