Factor 24x^2+119x-5

Math
24×2+119x-5
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=24⋅-5=-120 and whose sum is b=119.
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Factor 119 out of 119x.
24×2+119(x)-5
Rewrite 119 as -1 plus 120
24×2+(-1+120)x-5
Apply the distributive property.
24×2-1x+120x-5
24×2-1x+120x-5
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(24×2-1x)+120x-5
Factor out the greatest common factor (GCF) from each group.
x(24x-1)+5(24x-1)
x(24x-1)+5(24x-1)
Factor the polynomial by factoring out the greatest common factor, 24x-1.
(24x-1)(x+5)
Factor 24x^2+119x-5

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