What is factor x^3+12x^2+44x+48 ?

The solution to factor x^3+12x^2+44x+48 is (x+2)(x+4)(x+6)

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factor x^3+12x^2+44x+48

factor

x^{3} + 12 x^{2} + 44 x + 48

(x + 2) (x + 4) (x + 6)

Solution steps

x^{3} + 12 x^{2} + 44 x + 48

Use the rational root theorem

= (x + 2) \frac{x ^{3} + 12 x ^{2} + 44 x + 48}{x + 2}

\frac{x ^{3} + 12 x ^{2} + 44 x + 48}{x + 2} = x^{2} + 10 x + 24

= (x + 2) (x^{2} + 10 x + 24)

Factor

x^{2} + 10 x + 24 : (x + 4) (x + 6)

= (x + 2) (x + 4) (x + 6)

3 (x - 1)^{2} - 14 = - 2

(7 + 8) (7 - 8)

14 \cdot \frac{3}{2}

- 3 x^{2} + 1 = (x - 2) (x + 2)

x^{3} + 4 x

What is factor x^3+12x^2+44x+48 ?
The solution to factor x^3+12x^2+44x+48 is (x+2)(x+4)(x+6)