Question

Factorize:
(i) $y^2+24y+144$
(ii) $p^2-7p-44$
(iii) $3x^2+14x+15$
(iv) $44x^2-x-3$

Answer 1

(i)

$y^2+24y+144=0$

$(y+12{)}^2=0$

$y=-12$

(ii)

$p^2-7p-44=0$

$(p-11)(p+4)=0$

$p=11,-4$

(iii)

$3x^2+14x+15=0$

$(x+\frac{5}{3})(x+3)=0$

$x=-\frac{5}{3},-3$

(iv)

$44x^2-x-3=0$

$(x-\frac{3}{11})(x+\frac{1}{4})=0$

$x=\frac{3}{11},-\frac{1}{4}$