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Factor the polynomial 5x^2 - 5

Sagot :

We are given the following polynomial

[tex]5x^2-5[/tex]

Let us factor this polynomial.

First of all, notice that you can take 5 common

[tex]5x^2-5=5(x^2-1)[/tex]

Now you can apply the difference of squares formula

[tex]a^2-b^2=(a+b)(a-b)[/tex]

Where a = x and b = 1

[tex]5\mleft(x^2-1\mright)=5\mleft(x+1\mright)\mleft(x-1\mright)[/tex]

Therefore, the factorized polynomial is

[tex]5\mleft(x+1\mright)\mleft(x-1\mright)[/tex]

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