Factor the Quadratic for 4X^2+11X-3

Factor the Quadratic for 4X^2+11X-3

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Since a = 4 ≠ 1, find all factor pairs:
a x c = 4 x -3 = -12
These must have a sum = 11
Factor Pairs of -12Sum of Factor Pair
1,-121 - 12 = -11
2,-62 - 6 = -4
3,-43 - 4 = -1
4,-34 - 3 = 1
6,-26 - 2 = 4
12,-112 - 1 = 11

We want {12,-1}
Rewrite 11x as the sum of factor pairs:
12x - 1x
Our equation becomes
x2( + 12x - 1x) - 3 = 0
Marcus Vance
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Marcus Vance

Marcus Vance is a cybersecurity auditor and technology writer dedicated to educating the public about online safety, data privacy regulations, enterprise security, and emerging cyber threats.