What is factor 2x^2+11x-21 ?

The solution to factor 2x^2+11x-21 is (2x-3)(x+7)

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factor 2x^2+11x-21

factor

2 x^{2} + 11 x - 21

(2 x - 3) (x + 7)

Solution steps

2 x^{2} + 11 x - 21

Break the expression into groups

= (2 x^{2} - 3 x) + (14 x - 21)

Factor out

x

from

2 x^{2} - 3 x : x (2 x - 3)

Factor out

7

from

14 x - 21 : 7 (2 x - 3)

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

Factor out common term

2 x - 3

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

2 x + 1 > 0

2 x + 9 + 3 x + x = 4 x + 3

3^{y - 1} \leq 4^{y}

x^{3} - 3 x^{2} - 4 x

12 x^{2} + 12 x = 0