Question

If (x + a) is a factor of x3 + ax2 – 3x + a + 5, then the value of a is​

Answer 1

Answer:

a= 1/3

Step-by-step explanation:

Given,

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

Thus

a = 1/3

Answer 2

Answer:

solution

if x+a is factor of EQ.

put x=-a in the given EQ

-a^3+a^3+3a+a+5=0

4a+5=0

a= -5/4