which statement about -2h² - 15h - 7 is true?\none of the factors is (h + 2).\none of the factors is (3h…

Answer:

One of the factors is $(2h + 1)$.

Explanation:

Step1: Factor the quadratic expression

We factor $-2h^{2}-15h - 7$ by multiplying the coefficient of $h^{2}$ and the constant term, i.e., $(-2)\times(-7)=14$. We need to find two numbers that multiply to $14$ and add up to $- 15$. The numbers are $-14$ and $-1$. So, $-2h^{2}-15h - 7=-2h^{2}-14h - h - 7$.

Step2: Group the terms

Group the terms as follows: $(-2h^{2}-14h)+(-h - 7)$. Factor out the greatest - common factor from each group: $-2h(h + 7)-(h + 7)$.

Step3: Factor out the common binomial factor

Factor out $(h + 7)$: $-(2h + 1)(h+7)=( - 2h - 1)(h + 7)$. So one of the factors is $(2h + 1)$.