Factor using the trial and error method
-$$6 z ^ { 2 } + 5 z - 6$$
A) $( 6 z + 3 ) ( z - 2 )$
B) $( 2 z + 3 ) ( 3 z - 2 )$
C) $( 2 z - 3 ) ( 3 z + 2 )$
D) $6 z ^ { 2 } + 5 z - 6$

Question

Quizplus · Accepted Answer

The correct factorization is found by looking for factors of $6z^2$ and $-6$ that when multiplied and added give the middle term $+5z$. The factors $2z$ and $3z$ for $6z^2$, and $+3$ and $-2$ for $-6$ work, because $2z \times -2 + 3z \times 3 = -4z + 9z = 5z$.

Factor Using the Trial and Error Method - 6z2+5z−66 z ^ { 2 } + 5 z - 66z2+5z−6

Factor Using the Trial and Error Method
- $6 z ^ { 2 } + 5 z - 6$