Question

Find the zeros of the quadratic polynomial $x^2+7x+12$, and verify the relation between the zeros and its coefficients.

Answer 1

Given,

$x^2+7x+12$

zeros

$x^2+7x+12=0$

$(x+3)(x+4)=0$

$x=-3,-4$

verification,

sum of roots $=-\frac{b}{a}=-\frac{7}{1}=-7$

product of roots $=\frac{c}{a}=\frac{12}{1}=12$

Hence proved.