Question

Find the Zeroes of the polynomial $p\left(x\right)=x^2-3x+2$.

Answer 1

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

Put $p\left(x\right)=0$, For finding zeroes of the given polynomial

$⟹x^2-3x+2=0$

$⟹x^2-x-2x+2=0$

$⟹x(x-1)-2(x-1)=0$

$⟹(x-2),(x-1)=0$

$⟹x-2=0$ , $x-1=0$

$⟹x=2$ , $x=1$

$⟹2,1$ are zeroes of the equation $p\left(x\right)=x^2-3x+2$.