Factor.
-$6 x^{2}+5 x t-6 t^{2}$
A) Prime
B) $(2 x+3 t)(3 x-2 t)$
C) $(6 x+3 t)(x-2 t)$
D) $(2 x-3 t)(3 x+2 t)$

Name: Factor. -$6 x^{2}+5 x t-6 t^{2}$ A) Prime B) $(2 x+3 t)(3 x-2 t)$ C) $(6 x+3 t)(x-2 t)$ D) $(2 x-3 t)(3 x+2 t)$
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Question

Quizplus · Accepted Answer

The correct factorization of $6 x^{2}+5 x t-6 t^{2}$ is $(2 x+3 t)(3 x-2 t)$. This can be determined by finding two numbers that multiply to $6(-6t^2) = -36t^2$ and add to $5t$, which are $9t$ and $-4t$. Then, the expression can be factored by grouping.

Factor - 6x2+5xt−6t26 x^{2}+5 x t-6 t^{2}6x2+5xt−6t2 A) Prime B) (2x+3t)(3x−2t)(2 x+3 t)(3 x-2 t)(2x+3t)(3x−2t)

Factor
- $6 x^{2}+5 x t-6 t^{2}$ A) Prime
B) $(2 x+3 t)(3 x-2 t)$