What is factor m^2-4m-21 ?

The solution to factor m^2-4m-21 is (m+3)(m-7)

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factor m^2-4m-21

factor

m^{2} - 4 m - 21

(m + 3) (m - 7)

Solution steps

m^{2} - 4 m - 21

Break the expression into groups

= (m^{2} + 3 m) + (- 7 m - 21)

Factor out

m

from

m^{2} + 3 m : m (m + 3)

Factor out

- 7

from

- 7 m - 21 : - 7 (m + 3)

= m (m + 3) - 7 (m + 3)

Factor out common term

m + 3

= (m + 3) (m - 7)

2 3^{2}

- 4 \leq \frac{g}{5}

(x - 5) (x + 4)^{2} < 0

∣ - 3 x + 7 ∣ > 4

2 (x - 8)^{2} - 72 = 0