Question

find the value of a if x-a is a factor of x4-x3-2x2-x-a.
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Answer 1

Solution:-

Let f(x) = x4-a2x2+3x-a

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

f (-a) = 0

(-a)4-a2(-a)2+3(-a)-a = 0

a4-a4-3a-a = 0

-4a = 0

a = 0

Answer 2

Answer:

Hi there !!!

Given,

x - a is a factor of

{x}^{3} - ax {}^{2} + 2x + a - 1x3−ax2+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