+9467
| 5x2 | - | 13x | + | 6 | Let's split the middle term. | ||||
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Since 5 * 6 = 30 , we need two numbers that add to -13 and multiply to 30 . What two numbers add to -13 and multiply to 30 ? → -10 and -3
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| = | 5x2 | - | 10x | - | 3x | + | 6 | Notice if we combine like terms, we get the original expression. | |
| Factor 5x out of the first two terms. | |||||||||
| = | 5x(x - 2) | - | 3x | + | 6 | ||||
| Factor -3 out of the last two terms. | |||||||||
| = | 5x(x - 2) | - | 3(x - 2) | ||||||
| Factor (x - 2) out of both terms. | |||||||||
| = | (x - 2)(5x - 3) | ||||||||
