What is factor 12p^3-21p^2+28p-49 ?

The solution to factor 12p^3-21p^2+28p-49 is (4p-7)(3p^2+7)

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factor 12p^3-21p^2+28p-49

factor

12 p^{3} - 21 p^{2} + 28 p - 49

(4 p - 7) (3 p^{2} + 7)

Solution steps

12 p^{3} - 21 p^{2} + 28 p - 49

= (12 p^{3} - 21 p^{2}) + (28 p - 49)

Factor out

3 p^{2}

from

12 p^{3} - 21 p^{2} : 3 p^{2} (4 p - 7)

Factor out

7

from

28 p - 49 : 7 (4 p - 7)

= 3 p^{2} (4 p - 7) + 7 (4 p - 7)

Factor out common term

4 p - 7

= (4 p - 7) (3 p^{2} + 7)

k^{2} = 13 k

13 x^{2} - x + 6 = 0

\frac{3}{2} + \frac{3}{4}

6 \cdot 2

What is factor 12p^3-21p^2+28p-49 ?
The solution to factor 12p^3-21p^2+28p-49 is (4p-7)(3p^2+7)