Question

x3-x2+ax+x-a-1 Factorize
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Answer 1

Answer:

(x-1)(x²+a+1)

Step-by-step explanation:

=x² (x-1)+a(x-1)+1(x-1)

=(x-1)(x²+a+1)

I hope it will helps you

Answer 2

$x^3 - x^2 + ax + x - a - 1= (x-1)(x^2 + a + 1)$

Solution:

Given that,

We have to factorize:

$x^3 - x^2 + ax + x - a - 1$

Rearrange the terms

$x^3 -x^2 +ax - a+x-1\\\\Break\ the\ expression\ into\ groups \\\\(x^3 -x^2) + (ax - a) + (x-1) \\\\Factor\ out\ common\ term\ from\ each\ group$

$x^2(x-1) + a(x-1) + (x - 1) \\\\Factor\ out\ the\ common\ term\ x - 1 \\\\(x-1)(x^2 + a + 1)$

Thus the given expression is written as product of factors

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