What is factor 4k^3-7k^2-16k+28 ?

The solution to factor 4k^3-7k^2-16k+28 is (4k-7)(k+2)(k-2)

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factor 4k^3-7k^2-16k+28

factor

4 k^{3} - 7 k^{2} - 16 k + 28

(4 k - 7) (k + 2) (k - 2)

Solution steps

4 k^{3} - 7 k^{2} - 16 k + 28

= (4 k^{3} - 7 k^{2}) + (- 16 k + 28)

Factor out

k^{2}

from

4 k^{3} - 7 k^{2} : k^{2} (4 k - 7)

Factor out

- 4

from

- 16 k + 28 : - 4 (4 k - 7)

= k^{2} (4 k - 7) - 4 (4 k - 7)

Factor out common term

4 k - 7

= (4 k - 7) (k^{2} - 4)

Factor

k^{2} - 4 : (k + 2) (k - 2)

= (4 k - 7) (k + 2) (k - 2)

2 s^{2} + 7 s + 5

3 x^{2} + 5 < 53

15 z^{2} + 17 z + 2

\frac{z}{2} = 6

\frac{x ^{2}}{x ^{7}}

What is factor 4k^3-7k^2-16k+28 ?
The solution to factor 4k^3-7k^2-16k+28 is (4k-7)(k+2)(k-2)