Question

If $(3-2x)$ and $(5x+8)$ are factors of $(-10x^2+hx-k)$, then the values of $h$ and $k$ are respectively____

• A. $-1$ and $24$
• B. $1$ and $24$
• C. $-1$ and $-24$
• D. $1$ and $-24$

Answer 1

The correct option is C $-1$ and $-24$

Given, $(3-2x)(5x+8)=-{10x}^2+hx-k$

$15x-10x^2+24-16x=-10x^2+hx-k$

So, $h=-1,k=-24$