What is factor 3y^3-2y^2+21y-14 ?

The solution to factor 3y^3-2y^2+21y-14 is (3y-2)(y^2+7)

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factor 3y^3-2y^2+21y-14

factor

3 y^{3} - 2 y^{2} + 21 y - 14

(3 y - 2) (y^{2} + 7)

Solution steps

3 y^{3} - 2 y^{2} + 21 y - 14

= (3 y^{3} - 2 y^{2}) + (21 y - 14)

Factor out

y^{2}

from

3 y^{3} - 2 y^{2} : y^{2} (3 y - 2)

Factor out

7

from

21 y - 14 : 7 (3 y - 2)

= y^{2} (3 y - 2) + 7 (3 y - 2)

Factor out common term

3 y - 2

= (3 y - 2) (y^{2} + 7)

65 Q - \frac{Q ^{2}}{100} - (722 + \frac{Q ^{2}}{200}) = 0

\frac{1}{5} + \frac{1}{12}

u^{2} - 9 u + 18 = 0

1 0^{\frac{1}{2}} \cdot 1 0^{\frac{1}{2}}

s + 130 = - 45

What is factor 3y^3-2y^2+21y-14 ?
The solution to factor 3y^3-2y^2+21y-14 is (3y-2)(y^2+7)