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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!!!!

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lenpollock

Lvl 16
9mo ago

What else can I help you with?