\[6{x}^{2}-7x-3\]

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Examples

Split the second term in

6{x}^{2}-7x-3

into two terms.

Multiply the coefficient of the first term by the constant term.

6\times -3=-18

Ask: Which two numbers add up to

-7

and multiply to

-18

2

and

-9

Split

-7x

as the sum of

2x

and

-9x

6{x}^{2}+2x-9x-3

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6{x}^{2}+2x-9x-3

Factor out common terms in the first two terms, then in the last two terms.

2x(3x+1)-3(3x+1)

Factor out the common term

3x+1

(3x+1)(2x-3)

Done

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