Factor 4y^2+5y-6

Math
4y2+5y-6
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=4⋅-6=-24 and whose sum is b=5.
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Factor 5 out of 5y.
4y2+5(y)-6
Rewrite 5 as -3 plus 8
4y2+(-3+8)y-6
Apply the distributive property.
4y2-3y+8y-6
4y2-3y+8y-6
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(4y2-3y)+8y-6
Factor out the greatest common factor (GCF) from each group.
y(4y-3)+2(4y-3)
y(4y-3)+2(4y-3)
Factor the polynomial by factoring out the greatest common factor, 4y-3.
(4y-3)(y+2)
Factor 4y^2+5y-6

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