Question

Find the value of a & b $8x^4+14x^3-2x^2+ax+b$ is divisible by $4x^2+3x-2$.

• A. $(-7,2)$
• B. $(-7,7)$
• C. $(-7,0)$
• D. $(7,-2)$

Answer 1

The correct option is A $(-7,2)$

$f\left(x\right)=8x^2+14x^3-2x^2+ax+b$

$g\left(x\right)=4x^2+3x-2$

If $f\left(x\right)$ is divisible by $g\left(x\right)$ , then the remainder should be zero when divided

For $f\left(x\right)$ to be divisible remainder terms should have coefficient zero

$a+7=0,b-2=0$

$a=-7,b=+2$