Question

Factorise y²+5y+6 using factor theorem

Answer 1

Question :-

${y}^{2} + 5y + 6$

How to find it ?

=> we can find it by factor theorem and also by splitting method .

• Using the splitting method :-

${y}^{2} + 5y + 6$

$= {y}^{2} + 3y + 2y + 6$

$= y(y + 3) + 2(y + 3)$

$= (y + 3)(y + 2)$

• now , using the factor theorem .

$p(x) = {y}^{2} + 5y + 6$

now putting the value of y as zero we have to find the answer .

$p(0) = {0}^{2} + 5 \times 0 + 6$

$p(0) = 0 + 0 + 6$

$p(0) = 6$

$0 \: is \: not \: equal \: to \: 6$

Answer 2

Answer in the attachment !!