What is factor x^2-19x-42 ?

The solution to factor x^2-19x-42 is (x+2)(x-21)

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factor x^2-19x-42

factor

x^{2} - 19 x - 42

(x + 2) (x - 21)

Solution steps

x^{2} - 19 x - 42

Break the expression into groups

= (x^{2} + 2 x) + (- 21 x - 42)

Factor out

x

from

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

Factor out

- 21

from

- 21 x - 42 : - 21 (x + 2)

= x (x + 2) - 21 (x + 2)

Factor out common term

x + 2

= (x + 2) (x - 21)

- 5 x + 3 = x + 9

\frac{6 m ^{2} + 7 m - 5}{10 m ^{2} - 5 m} \cdot \frac{10 m ^{2}}{9 m ^{2} - 25}

20 x^{2} + 27 x + 9

\frac{1}{x - 2} \geq \frac{3}{x + 1}

6 x - 8 = 8 x - 6