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Factoring by grouping4y^2 + 8y +7y +14

1 Answer

4 votes

Answer:

(4y + 7)(y + 2)

So y = -7/4 and -2

Step-by-step explanation:

Given the below quadratic expression;


4y^2+8y+7y+14

Let's go ahead and group the factors as shown below;


4y(y+2)+7(y+2)

This will give us;


(4y+7)(y+2)

So if we equate (4y + 7) to zero, we'll have;

4y + 7 = 0

4y = -7

y = -7/4

Also,

y + 2 = 0

y = -2

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