16t3-50t2+36t

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 by grouping.

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.

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.

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