What are the steps to factor x^2 - 1 into

Hallie Watts

Hallie Watts

Answered question

2022-04-19

What are the steps to factor x21 into (x+1)(x1)?

Answer & Explanation

embemiaEffoset4rs

embemiaEffoset4rs

Beginner2022-04-20Added 14 answers

When you factor a polynomial, its roots must be roots of the factors.
(If p(x)=f(x)g(x),
p(r)=0f(r)=0lorg(r)=0
As x21=0x=±1
there must be a factor that vanishes with x=1 and another with x=1.
Hence, x21(x1)(x+1).

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