What is factor n^2-11n+10 ?

The solution to factor n^2-11n+10 is (n-1)(n-10)

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factor n^2-11n+10

factor

n^{2} - 11 n + 10

(n - 1) (n - 10)

Solution steps

n^{2} - 11 n + 10

Break the expression into groups

= (n^{2} - n) + (- 10 n + 10)

Factor out

n

from

n^{2} - n : n (n - 1)

Factor out

- 10

from

- 10 n + 10 : - 10 (n - 1)

= n (n - 1) - 10 (n - 1)

Factor out common term

n - 1

= (n - 1) (n - 10)

5 x^{4} - 20 x^{3} + 15 x^{2}

3 x + 3 = 4 x - 4

25 x^{2} - 100 = 0

- x + 5 \leq 4 and 2 x + 3 \geq - 1

x^{2} + x - 16 > 14