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Factor the following quadratics completely

Factor the following quadratics completely-example-1
User Nethsix
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1 Answer

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The fully factored form of the quadratic is (2r - 7)(r + 6).

2r^2 + 5r - 42

Check if splitting the middle term is possible.

List factors of -84

1 * -84

-1 * 84

2 * -42

-2 * 42

3 * -28

-3 * 28

4 * -21

-4 * 21

6 * -14

-6 * 14

7 * -12

-7 * 12 (these digits satisfy the criteria.)

Split the middle term.

2r^2 + 12r - 7r - 42

Factor by grouping.

2r(r + 6) - 7(r + 6)

Rearrange.

(2r - 7)(r + 6)


User DaveWalley
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