What is factor 4x^2+3x-10 ?

The solution to factor 4x^2+3x-10 is (4x-5)(x+2)

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factor 4x^2+3x-10

factor

4 x^{2} + 3 x - 10

(4 x - 5) (x + 2)

Solution steps

4 x^{2} + 3 x - 10

Break the expression into groups

= (4 x^{2} - 5 x) + (8 x - 10)

Factor out

x

from

4 x^{2} - 5 x : x (4 x - 5)

Factor out

2

from

8 x - 10 : 2 (4 x - 5)

= x (4 x - 5) + 2 (4 x - 5)

Factor out common term

4 x - 5

= (4 x - 5) (x + 2)

- x^{2} + 18 x - 81 \geq 0

\frac{2}{3} (1)^{- \frac{1}{3}}

- 1 - 6

2 \times \frac{1}{27} + 1

\frac{( x + 3 )}{2 x - 1} > 2