Question

If $2$ is a zero of the polynomial $P\left(x\right)=4x^2-3x+5a$ then find the value of $a$.

Answer 1

Given that,

$2$ is zero of the polynomial $P\left(x\right)=4x^2-3x+5a$

i.e., $P\left(2\right)=0$

$⟹4(2{)}^2-3(2)+5a=0$

$⟹16-6+5a=0$

$⟹10+5a=0$

$⟹5a=-10$

$\therefore a=-2$