What is factor 3x^2-11x+10 ?

The solution to factor 3x^2-11x+10 is (3x-5)(x-2)

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factor 3x^2-11x+10

factor

3 x^{2} - 11 x + 10

(3 x - 5) (x - 2)

Solution steps

3 x^{2} - 11 x + 10

Break the expression into groups

= (3 x^{2} - 5 x) + (- 6 x + 10)

Factor out

x

from

3 x^{2} - 5 x : x (3 x - 5)

Factor out

- 2

from

- 6 x + 10 : - 2 (3 x - 5)

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

Factor out common term

3 x - 5

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

3 x^{2} - 8 x + 4

\frac{π}{3} + 4 π

\frac{9}{2}

2 x^{2} + 3 x + 1