What is factor 3x^2-22x+7 ?

The solution to factor 3x^2-22x+7 is (3x-1)(x-7)

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factor 3x^2-22x+7

factor

3 x^{2} - 22 x + 7

(3 x - 1) (x - 7)

Solution steps

3 x^{2} - 22 x + 7

Break the expression into groups

= (3 x^{2} - x) + (- 21 x + 7)

Factor out

x

from

3 x^{2} - x : x (3 x - 1)

Factor out

- 7

from

- 21 x + 7 : - 7 (3 x - 1)

= x (3 x - 1) - 7 (3 x - 1)

Factor out common term

3 x - 1

= (3 x - 1) (x - 7)

x^{2} + \frac{5}{2} x + 1

(x^{2} + 6) (x^{2} + 2)

2 1 \frac{9}{16} - 1

- 2 \frac{\frac{4}{5}}{( - 7 )}