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

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

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factor 3x^2-16x+20

factor

3 x^{2} - 16 x + 20

(x - 2) (3 x - 10)

Solution steps

3 x^{2} - 16 x + 20

Break the expression into groups

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

Factor out

3 x

from

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

Factor out

- 10

from

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

= 3 x (x - 2) - 10 (x - 2)

Factor out common term

x - 2

= (x - 2) (3 x - 10)

2^{- 2 x}

- \frac{3}{2} \times (- 2)

3 \times \frac{1}{8}

10 x \times x

(3 x - \frac{2}{3})^{6}