Question

Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and the coefficients
$4x^2-7x-11=0$

Answer 1

$4x^2-7x-11=0$

$\Rightarrow 4x^2-11x+4x-11=0$

$\Rightarrow 4x(x+1)-11(x+1)=0$

$\Rightarrow (4x-11)(x+1)=0$

$\Rightarrow x=\frac{11}{4},-1$

Sum of roots$=\frac{11}{4}-1=\frac{7}{4}=-(-\frac{7}{4})=\frac{-b}{a}$

Product of roots $=\frac{11}{4}(-1)=\frac{-11}{4}=\frac{c}{a}$