Factor 10w^5-26w^4-12w^3

Math
10w5-26w4-12w3
Factor 2w3 out of 10w5-26w4-12w3.
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Factor 2w3 out of 10w5.
2w3(5w2)-26w4-12w3
Factor 2w3 out of -26w4.
2w3(5w2)+2w3(-13w)-12w3
Factor 2w3 out of -12w3.
2w3(5w2)+2w3(-13w)+2w3(-6)
Factor 2w3 out of 2w3(5w2)+2w3(-13w).
2w3(5w2-13w)+2w3(-6)
Factor 2w3 out of 2w3(5w2-13w)+2w3(-6).
2w3(5w2-13w-6)
2w3(5w2-13w-6)
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=5⋅-6=-30 and whose sum is b=-13.
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Factor -13 out of -13w.
2w3(5w2-13(w)-6)
Rewrite -13 as 2 plus -15
2w3(5w2+(2-15)w-6)
Apply the distributive property.
2w3(5w2+2w-15w-6)
2w3(5w2+2w-15w-6)
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
2w3((5w2+2w)-15w-6)
Factor out the greatest common factor (GCF) from each group.
2w3(w(5w+2)-3(5w+2))
2w3(w(5w+2)-3(5w+2))
Factor the polynomial by factoring out the greatest common factor, 5w+2.
2w3((5w+2)(w-3))
2w3((5w+2)(w-3))
Remove unnecessary parentheses.
2w3(5w+2)(w-3)
2w3(5w+2)(w-3)
Factor 10w^5-26w^4-12w^3
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