Factor 16y^2+8y-15

Math
16y2+8y-15
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=16⋅-15=-240 and whose sum is b=8.
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Factor 8 out of 8y.
16y2+8(y)-15
Rewrite 8 as -12 plus 20
16y2+(-12+20)y-15
Apply the distributive property.
16y2-12y+20y-15
16y2-12y+20y-15
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(16y2-12y)+20y-15
Factor out the greatest common factor (GCF) from each group.
4y(4y-3)+5(4y-3)
4y(4y-3)+5(4y-3)
Factor the polynomial by factoring out the greatest common factor, 4y-3.
(4y-3)(4y+5)
Factor 16y^2+8y-15

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