Factor 16t^3-50t^2+36t

Math
16t3-50t2+36t
Factor 2t out of 16t3-50t2+36t.
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Factor 2t out of 16t3.
2t(8t2)-50t2+36t
Factor 2t out of -50t2.
2t(8t2)+2t(-25t)+36t
Factor 2t out of 36t.
2t(8t2)+2t(-25t)+2t(18)
Factor 2t out of 2t(8t2)+2t(-25t).
2t(8t2-25t)+2t(18)
Factor 2t out of 2t(8t2-25t)+2t(18).
2t(8t2-25t+18)
2t(8t2-25t+18)
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=8⋅18=144 and whose sum is b=-25.
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Factor -25 out of -25t.
2t(8t2-25(t)+18)
Rewrite -25 as -9 plus -16
2t(8t2+(-9-16)t+18)
Apply the distributive property.
2t(8t2-9t-16t+18)
2t(8t2-9t-16t+18)
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
2t((8t2-9t)-16t+18)
Factor out the greatest common factor (GCF) from each group.
2t(t(8t-9)-2(8t-9))
2t(t(8t-9)-2(8t-9))
Factor the polynomial by factoring out the greatest common factor, 8t-9.
2t((8t-9)(t-2))
2t((8t-9)(t-2))
Remove unnecessary parentheses.
2t(8t-9)(t-2)
2t(8t-9)(t-2)
Factor 16t^3-50t^2+36t

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