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

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

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factor 2x^2+x-10

factor

2 x^{2} + x - 10

(x - 2) (2 x + 5)

Solution steps

2 x^{2} + x - 10

Break the expression into groups

= (2 x^{2} - 4 x) + (5 x - 10)

Factor out

2 x

from

2 x^{2} - 4 x : 2 x (x - 2)

Factor out

5

from

5 x - 10 : 5 (x - 2)

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

Factor out common term

x - 2

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

x^{3} + 14 x^{2} + 61 x + 84

r^{2} + 2 rs + r

∣ x + 2 ∣ \leq 13

3 x + 10 \leq 19

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