Question

Factor 8y 2 + 17y + 2.
(8y + 1)(y + 2)
(2y + 1)(4y + 2)
(2y + 2)(4y + 1)

Answer 1

Factors: (8y+1)(y+2)

Answer 2

Factors:
`(8y+1)(y+2)`

Explanation:

Trinomials are three term algebraic expressions typically featuring variables to exponent powers. To break these trinomials down we factor them using the diamond method or GCF. The diamond method states that for a trinomial
`ax^2+bx+c` multiply a*c then find two numbers which multiply to this number and add to b. When you find those numbers, split the middle term using them. Then factor by grouping using the GCF to find the greatest common factor in each pair of terms. If the parenthesis match then you have a complete factoring.

`8y^2+17x+2`

a=8, c=2

ac=16 and add to b=17 which is 1 and 16

`8y^2+16y+y+2`

`(8y^2+16y)+(y+2)`

`8y(y+2)+1(y+2)`

Factors:
`(8y+1)(y+2)`