What is factor 6x^3-16x^2+21x-56 ?

The solution to factor 6x^3-16x^2+21x-56 is (3x-8)(2x^2+7)

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factor 6x^3-16x^2+21x-56

factor

6 x^{3} - 16 x^{2} + 21 x - 56

(3 x - 8) (2 x^{2} + 7)

Solution steps

6 x^{3} - 16 x^{2} + 21 x - 56

= (6 x^{3} - 16 x^{2}) + (21 x - 56)

Factor out

2 x^{2}

from

6 x^{3} - 16 x^{2} : 2 x^{2} (3 x - 8)

Factor out

7

from

21 x - 56 : 7 (3 x - 8)

= 2 x^{2} (3 x - 8) + 7 (3 x - 8)

Factor out common term

3 x - 8

= (3 x - 8) (2 x^{2} + 7)

12 x y + 20 x a - 84 a y - 140 a^{2}

3 (x - 3) = 3

(x - 5 i) (x + 5 i)

3 x^{4} + 45 x^{3} + 78 x^{2}

\frac{3 ^{2 n + 1} - 9 ^{n}}{6 \cdot 3 ^{2 n - 1}}

What is factor 6x^3-16x^2+21x-56 ?
The solution to factor 6x^3-16x^2+21x-56 is (3x-8)(2x^2+7)