What is factor 5x^2-22x+21 ?

The solution to factor 5x^2-22x+21 is (5x-7)(x-3)

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factor 5x^2-22x+21

factor

5 x^{2} - 22 x + 21

(5 x - 7) (x - 3)

Solution steps

5 x^{2} - 22 x + 21

Break the expression into groups

= (5 x^{2} - 7 x) + (- 15 x + 21)

Factor out

x

from

5 x^{2} - 7 x : x (5 x - 7)

Factor out

- 3

from

- 15 x + 21 : - 3 (5 x - 7)

= x (5 x - 7) - 3 (5 x - 7)

Factor out common term

5 x - 7

= (5 x - 7) (x - 3)

a^{2} + ba

(x - 2) (- 3 x^{2} + 8 x - 4)

(- 6.4) \cdot (- 3.6)

24 \times 9

40 \times 4