Question

find the value of a if x+a is a factor of i)x^3+ax^2-2x+a+4​

Answer 1

x - a is a factor of

{x}^{3} - ax {}^{2} + 2x + a - 1x

3

−ax

2

+2x+a−1

we know,

x - a = 0

x = 0+a = a

Substitung the value of x as a,

we have,

(a)^3 - a(a)^2 + 2(a) + a - 1 =0

a^3 - a^3 + 2a + a - 1=0

3a - 1=0

3a =1

a = 1/3