Question

Factor completely.

y^2+6y+8

Enter your answer in the box.

Answer 1

(y+4)(y+2)

Explanation:

Answer 2

The factored form is (y+4)(y+2)

Explanation:

We have to factor the expression
`y^2+6y+8`

We can factor it by AC method.

Comparing this equation with
`ay^2+by+c`

a = 1, b = 6, c = 8

Multiply a and c. ac = 8

Factor pairs of 8 are

1, 8

2, 4

Now among these factors pairs we choose the pair which on addition/subtraction given b and on multiplication it gives c.

Hence, require pair is 2 and 4

Thus, we can write the expression as

`y^2+4y+2y+8`

Take GCF

`y(y+4)+2(y+4)`

Factor out the common term

`(y+4)(y+2)`

Hence, the factored form is (y+4)(y+2)