What is factor x^2-x-42 ?

The solution to factor x^2-x-42 is (x+6)(x-7)

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factor x^2-x-42

factor

x^{2} - x - 42

(x + 6) (x - 7)

Solution steps

x^{2} - x - 42

Break the expression into groups

= (x^{2} + 6 x) + (- 7 x - 42)

Factor out

x

from

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

Factor out

- 7

from

- 7 x - 42 : - 7 (x + 6)

= x (x + 6) - 7 (x + 6)

Factor out common term

x + 6

= (x + 6) (x - 7)

- x^{3} + 2 x^{2} + 21 x + 18

- 15 \leq x + 8 < - 2

x^{6} + 1000

\frac{d}{1.14} \leq - 1

- \frac{7}{6} + 1