What is factor x^2-25x+100 ?

The solution to factor x^2-25x+100 is (x-5)(x-20)

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factor x^2-25x+100

factor

x^{2} - 25 x + 100

(x - 5) (x - 20)

Solution steps

x^{2} - 25 x + 100

Break the expression into groups

= (x^{2} - 5 x) + (- 20 x + 100)

Factor out

x

from

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

Factor out

- 20

from

- 20 x + 100 : - 20 (x - 5)

= x (x - 5) - 20 (x - 5)

Factor out common term

x - 5

= (x - 5) (x - 20)

2 x^{2} - 7 x + 8 = 0

\frac{1}{4} \leq \frac{6 - x}{12} \leq - \frac{1}{6}

\frac{1}{3} x + 2 < \frac{1}{6} x - 1

\frac{p}{4} + 8 = 7

12 + 8