How do you factorise y squared plus 9y minus 52?

Answer 1

y^(2) + 9y - 52 #

Write down all the factors of '52'

Hence

1, 52 ; 2 , 26 ; 4 , 13 ;

By addition or subtraction, select a pair of factors that 'add' to '9'

They are, '4' & '13' ; Hence 13 - 4 = 9

Set up ther brackets , without the signs

Hence

( y 4)(y 13)

Since '52' is negative (-) , then the two signs are different.

Since '9' is positive then the larger factor is positive(+).

Hence inserting

(y - 4)(y + 13)

Factored!!!!

Done!!!!

Answer 2

y^2+9y-52

= (y+13)(y-4)