What is factor x^2+19x+48 ?

The solution to factor x^2+19x+48 is (x+3)(x+16)

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factor x^2+19x+48

factor

x^{2} + 19 x + 48

(x + 3) (x + 16)

Solution steps

x^{2} + 19 x + 48

Break the expression into groups

= (x^{2} + 3 x) + (16 x + 48)

Factor out

x

from

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

Factor out

16

from

16 x + 48 : 16 (x + 3)

= x (x + 3) + 16 (x + 3)

Factor out common term

x + 3

= (x + 3) (x + 16)

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x^{2} + 6 x + 2 = 0

∣ x - 4 ∣ = 1