What is factor x^2-7x+10 ?

The solution to factor x^2-7x+10 is (x-2)(x-5)

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factor x^2-7x+10

factor

x^{2} - 7 x + 10

(x - 2) (x - 5)

Solution steps

x^{2} - 7 x + 10

Break the expression into groups

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

Factor out

x

from

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

Factor out

- 5

from

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

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

Factor out common term

x - 2

= (x - 2) (x - 5)

d^{2} - 2 d - 15

3 x + 5 = x - 3

2 x - 3 \leq 3

2 x + 1 > 0

\frac{9}{6} = \frac{x}{8}