Miguel Hendrix

2023-03-13

How to factor $6{x}^{2}+5x-6$?

el4arbfeq

Find the factors:
For the equation $a{x}^{2}+bx+c$, first multiply a and b, then find two factors such that their sum or difference will be equal to b.
$6{x}^{2}+5x-6$
$⇒6{x}^{2}+\left(9-4\right)x-6⇒6{x}^{2}+9x-4x-6⇒3x\left(2x+3\right)-2\left(2x+3\right)⇒\left(2x+3\right)\left(3x-2\right)$
Therefore, factors of $6{x}^{2}+5x-6$ are $\left(2x+3\right)$ and $\left(3x-2\right)$.

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