What is factor 3n^2-16n+20 ?

The solution to factor 3n^2-16n+20 is (n-2)(3n-10)

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factor 3n^2-16n+20

factor

3 n^{2} - 16 n + 20

(n - 2) (3 n - 10)

Solution steps

3 n^{2} - 16 n + 20

Break the expression into groups

= (3 n^{2} - 6 n) + (- 10 n + 20)

Factor out

3 n

from

3 n^{2} - 6 n : 3 n (n - 2)

Factor out

- 10

from

- 10 n + 20 : - 10 (n - 2)

= 3 n (n - 2) - 10 (n - 2)

Factor out common term

n - 2

= (n - 2) (3 n - 10)

2 (x - 4) + 14 \leq x - 1

(x - 3)^{2} = 36

x^{2} (x + 4) (x - 3) > 0

x^{2} + x - 9 = 0

8 < 3 x - 1 \leq 11