What is factor 14+15m+m^2 ?

The solution to factor 14+15m+m^2 is (m+1)(m+14)

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factor 14+15m+m^2

factor

14 + 15 m + m^{2}

(m + 1) (m + 14)

Solution steps

14 + 15 m + m^{2}

Write in the standard form

= m^{2} + 15 m + 14

Break the expression into groups

= (m^{2} + m) + (14 m + 14)

Factor out

m

from

m^{2} + m : m (m + 1)

Factor out

14

from

14 m + 14 : 14 (m + 1)

= m (m + 1) + 14 (m + 1)

Factor out common term

m + 1

= (m + 1) (m + 14)

18 - 3 x = x 2

- 4 x^{2} + x - 15 = - 5 x^{2}

72 x^{2} - 55 x - 150

5 - x \geq 9

- 5 x - 2 \leq - 17