What is factor 3x^2-2x-21 ?

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

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factor 3x^2-2x-21

factor

3 x^{2} - 2 x - 21

(3 x + 7) (x - 3)

Solution steps

3 x^{2} - 2 x - 21

Break the expression into groups

= (3 x^{2} + 7 x) + (- 9 x - 21)

Factor out

x

from

3 x^{2} + 7 x : x (3 x + 7)

Factor out

- 3

from

- 9 x - 21 : - 3 (3 x + 7)

= x (3 x + 7) - 3 (3 x + 7)

Factor out common term

3 x + 7

= (3 x + 7) (x - 3)

(\frac{13}{7})^{2}

3 (\frac{1}{2})

3 b c - 2 b - 10 + 15 c

x^{4} - 40 x^{2} + 144

4 (7 + y) - 3 x (7 + y)