Factor 35x^2-100x-15

Math
35×2-100x-15
Factor 5 out of 35×2-100x-15.
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Factor 5 out of 35×2.
5(7×2)-100x-15
Factor 5 out of -100x.
5(7×2)+5(-20x)-15
Factor 5 out of -15.
5(7×2)+5(-20x)+5(-3)
Factor 5 out of 5(7×2)+5(-20x).
5(7×2-20x)+5(-3)
Factor 5 out of 5(7×2-20x)+5(-3).
5(7×2-20x-3)
5(7×2-20x-3)
Factor.
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Factor by grouping.
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For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=7⋅-3=-21 and whose sum is b=-20.
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Factor -20 out of -20x.
5(7×2-20(x)-3)
Rewrite -20 as 1 plus -21
5(7×2+(1-21)x-3)
Apply the distributive property.
5(7×2+1x-21x-3)
Multiply x by 1.
5(7×2+x-21x-3)
5(7×2+x-21x-3)
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
5((7×2+x)-21x-3)
Factor out the greatest common factor (GCF) from each group.
5(x(7x+1)-3(7x+1))
5(x(7x+1)-3(7x+1))
Factor the polynomial by factoring out the greatest common factor, 7x+1.
5((7x+1)(x-3))
5((7x+1)(x-3))
Remove unnecessary parentheses.
5(7x+1)(x-3)
5(7x+1)(x-3)
Factor 35x^2-100x-15

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