What is factor n^2-13n+30 ?

The solution to factor n^2-13n+30 is (n-3)(n-10)

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factor n^2-13n+30

factor

n^{2} - 13 n + 30

(n - 3) (n - 10)

Solution steps

n^{2} - 13 n + 30

Break the expression into groups

= (n^{2} - 3 n) + (- 10 n + 30)

Factor out

n

from

n^{2} - 3 n : n (n - 3)

Factor out

- 10

from

- 10 n + 30 : - 10 (n - 3)

= n (n - 3) - 10 (n - 3)

Factor out common term

n - 3

= (n - 3) (n - 10)

0 = - 2 + x^{2}

∣ - 6 ∣

(x - 1) (x - 1)^{3}

- 5 x^{2} + 3 x - 4 = 0

4 x^{2} + 10 x - 6