What is factor 8x^2-22x+15 ?

The solution to factor 8x^2-22x+15 is (4x-5)(2x-3)

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factor 8x^2-22x+15

factor

8 x^{2} - 22 x + 15

(4 x - 5) (2 x - 3)

Solution steps

8 x^{2} - 22 x + 15

Break the expression into groups

= (8 x^{2} - 10 x) + (- 12 x + 15)

Factor out

2 x

from

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

Factor out

- 3

from

- 12 x + 15 : - 3 (4 x - 5)

= 2 x (4 x - 5) - 3 (4 x - 5)

Factor out common term

4 x - 5

= (4 x - 5) (2 x - 3)

y^{2} - y - 2

(4 - x) (x + 3) (x^{2} - 1) < 0

3 (4 f - 5) - 2 = 6 f - 1

t^{3} t^{4} t^{2}

- 1 \leq 2 x - 5 \leq 7