What is factor 2x^2-11x+15 ?

The solution to factor 2x^2-11x+15 is (2x-5)(x-3)

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factor 2x^2-11x+15

factor

2 x^{2} - 11 x + 15

(2 x - 5) (x - 3)

Solution steps

2 x^{2} - 11 x + 15

Break the expression into groups

= (2 x^{2} - 5 x) + (- 6 x + 15)

Factor out

x

from

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

Factor out

- 3

from

- 6 x + 15 : - 3 (2 x - 5)

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

Factor out common term

2 x - 5

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

\frac{h}{2} > - 2

5 x^{2} + 6 x = 1

2 x - 3 = 6 + x

x^{2} - 1 = 1 - x^{2}

8 r + 10 = - 4 + 10 r