What is factor k^2+7k+10 ?

The solution to factor k^2+7k+10 is (k+2)(k+5)

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factor k^2+7k+10

factor

k^{2} + 7 k + 10

(k + 2) (k + 5)

Solution steps

k^{2} + 7 k + 10

Break the expression into groups

= (k^{2} + 2 k) + (5 k + 10)

Factor out

k

from

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

Factor out

5

from

5 k + 10 : 5 (k + 2)

= k (k + 2) + 5 (k + 2)

Factor out common term

k + 2

= (k + 2) (k + 5)

4 x^{2} - 2500 = 0

8 x + 9 - 12 x = 4 x - 13 + 5 x

42 \cdot 3

\frac{x ^{3} - 5 x ^{2} + 3 x + 9}{x + 1}

x^{2} - 4 x \geq 5