Question

Factor the polynomial: 1–bx–x+b

Answer 1

-bx-x+1+b

=-x(b+1)+1(b+1)

=(b+1)(-x+1)=0

=b=-1 or x=1

Answer 2

Factoring form of polynomial is $1-bx-x+b=(1-x)(1+b)$.

Step-by-step explanation:

Given : Polynomial $1-bx-x+b$.

To find : Factor the polynomial ?

Solution :

Step 1 - Write the polynomial

$1-bx-x+b$

Step 2 - Arrange the terms,

$1-bx-x+b=-bx-x+b+1$

Step 3 - Take common terms,

$1-bx-x+b=-x(b+1)+1(b+1)$

Step 4 - Factor the terms,

$1-bx-x+b=(-x+1)(b+1)$

or $1-bx-x+b=(1-x)(1+b)$

Therefore, factoring form of polynomial is $1-bx-x+b=(1-x)(1+b)$

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