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

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

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factor 2x^2-x-21

factor

2 x^{2} - x - 21

(x + 3) (2 x - 7)

Solution steps

2 x^{2} - x - 21

Break the expression into groups

= (2 x^{2} + 6 x) + (- 7 x - 21)

Factor out

2 x

from

2 x^{2} + 6 x : 2 x (x + 3)

Factor out

- 7

from

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

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

Factor out common term

x + 3

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

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

\frac{1}{3} + \frac{1}{4} + \frac{1}{5}

\frac{r}{2} + 1 \leq - 1

2 x (x + 3) - 7 = 4 x - 6

17 \cdot 2