Factor 90x^2+51x-20

Math
90×2+51x-20
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=90⋅-20=-1800 and whose sum is b=51.
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Factor 51 out of 51x.
90×2+51(x)-20
Rewrite 51 as -24 plus 75
90×2+(-24+75)x-20
Apply the distributive property.
90×2-24x+75x-20
90×2-24x+75x-20
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(90×2-24x)+75x-20
Factor out the greatest common factor (GCF) from each group.
6x(15x-4)+5(15x-4)
6x(15x-4)+5(15x-4)
Factor the polynomial by factoring out the greatest common factor, 15x-4.
(15x-4)(6x+5)
Factor 90x^2+51x-20

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