What is factor 4x^2-25x+21 ?

The solution to factor 4x^2-25x+21 is (x-1)(4x-21)

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factor 4x^2-25x+21

factor

4 x^{2} - 25 x + 21

(x - 1) (4 x - 21)

Solution steps

4 x^{2} - 25 x + 21

Break the expression into groups

= (4 x^{2} - 4 x) + (- 21 x + 21)

Factor out

4 x

from

4 x^{2} - 4 x : 4 x (x - 1)

Factor out

- 21

from

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

= 4 x (x - 1) - 21 (x - 1)

Factor out common term

x - 1

= (x - 1) (4 x - 21)

2 x^{2} + 10 x - 48 = 0

(9 k - 1)^{2} = - 8

y^{2} + 6 y - 27

81 x^{2} - 9

- 2 \leq x - 11 \leq 6