Factor the expression that defines the function. $$g ( x ) = 5 x ^ { 2 } - 44 x - 9$$
A) $g ( x ) = x ( 5 x - 44 ) - 9$
B) $g ( x ) = ( 5 x + 1 ) ( x - 9 )$
C) $g ( x ) = ( 5 x + 1 ) ( x + 9 )$
D) $g ( x ) = ( 5 x - 1 ) ( x + 9 )$

Question

Quizplus · Accepted Answer

To factor the quadratic expression $5x^2 - 44x - 9$, we look for two numbers that multiply to $5 \times -9 = -45$ and add to $-44$. These numbers are $-45$ and $1$. Thus, we can rewrite the middle term and factor by grouping, leading to the factorization $(5x + 1)(x - 9)$.

Factor the Expression That Defines the Function g(x)=5x2−44x−9g ( x ) = 5 x ^ { 2 } - 44 x - 9g(x)=5x2−44x−9

Factor the Expression That Defines the Function $g ( x ) = 5 x ^ { 2 } - 44 x - 9$