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Factor completely -4x2-10x+6

User Peter HIRT
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2 Answers

6 votes
The Answer is : -14x + 8
User Ariven Nadar
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3 votes

-4x² - 10x + 6

[ax² + bx + c]

Multiply the first and last number (a and c) together.

-4(6) = -24

Now find the factors of 24 that can add or subtract to -10 (b)

24 = 1, 2, 3, 4, 6, 8, 12, 24 ( 1 × 24, 2 × 12, 3 × 8, 4 × 6 )

2 and 12, and 4 and 6 can add or subtract to -10. I will be using 2 and 12.


Now instead of this:

-4x² - 10x + 6


You can replace -10x with:

-4x² + 2x - 12x + 6 (this is because the sum of 2x and -12x is -10x)

Now factor separately (factor -2x from [-4x² + 2x], and factor -6 from [-12x + 6])


-2x(2x - 1) - 6(2x - 1)

Factor (2x - 1) out


(2x - 1)(-2x - 6)

User Logixologist
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