What is factor x^2+7x+6x+42 ?

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

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factor x^2+7x+6x+42

factor

x^{2} + 7 x + 6 x + 42

(x + 6) (x + 7)

Solution steps

x^{2} + 7 x + 6 x + 42

Add similar elements:

7 x + 6 x = 13 x

= x^{2} + 13 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)

\frac{2 x + 1}{x + 1} \leq x

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4 w^{2} - 52 w - 120

x^{3} - 81 x \leq 0