Question

What are the following factors of x² - 6x +8

1) 1, 8
2) 4,2
3) -4, -2
4) -1, -8


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Answer 1

The factors are x-2 and x-4.

Explanation:

x^2 - 6x + 8

= (x - 2)(x - 4)

Answer 2

2) 4,2

Explanation:

Factor by grouping:

`x^2-6x+8\\\\x^2-4x-2x+8\\\\x(x-4)-2(x-4)\\\\(x-2)(x-4)`

Setting the expression equal to 0 and using the Zero Product Property,
`x=2` and
`x=4`, which are the factors of the original polynomial.