Factor the trinomial, if possible. $10 y ^ { 2 } - 29 y - 72$
A) $( 2 y - 9 ) ( 5 y + 8 )$
B) $( 2 y + 9 ) ( 5 y + 8 )$
C) $( 2 y - 9 ) ( 5 y - 8 )$
D) $( 9 y + 2 ) ( 8 y - 5 )$
E)The trinomial is prime.

Question

Quizplus · Accepted Answer

To factor the trinomial $10y^2 - 29y - 72$, we look for two numbers that multiply to $10 \times -72 = -720$ and add to $-29$. The numbers -9 and 80 fit these criteria. Rewriting the middle term using these numbers gives us $10y^2 - 9y - 80y - 72$, which can be factored by grouping into $(2y - 9)(5y + 8)$.

Factor the Trinomial, If Possible 10y2−29y−7210 y ^ { 2 } - 29 y - 7210y2−29y−72

Factor the Trinomial, If Possible $10 y ^ { 2 } - 29 y - 72$