What is factor 10x^2-x-21 ?

The solution to factor 10x^2-x-21 is (5x+7)(2x-3)

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factor 10x^2-x-21

factor

10 x^{2} - x - 21

(5 x + 7) (2 x - 3)

Solution steps

10 x^{2} - x - 21

Break the expression into groups

= (10 x^{2} + 14 x) + (- 15 x - 21)

Factor out

2 x

from

10 x^{2} + 14 x : 2 x (5 x + 7)

Factor out

- 3

from

- 15 x - 21 : - 3 (5 x + 7)

= 2 x (5 x + 7) - 3 (5 x + 7)

Factor out common term

5 x + 7

= (5 x + 7) (2 x - 3)

- 4 + \frac{2}{5}

2 x^{3} + 3 x^{2} - 17 x + 12

lo g_{2} (4 \times 8)

x^{2} + 4 + 5 y^{3} + 2 x^{2} - 2 x^{2} - 6 + 1

(2^{x})^{2}