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Popular >

factor x^3+3x^2-4

Solution

factor

x^{3} + 3 x^{2} - 4

Solution

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

Solution steps

x^{3} + 3 x^{2} - 4

Use the rational root theorem

= (x - 1) \frac{x ^{3} + 3 x ^{2} - 4}{x - 1}

\frac{x ^{3} + 3 x ^{2} - 4}{x - 1} = x^{2} + 4 x + 4

= (x - 1) (x^{2} + 4 x + 4)

Factor

x^{2} + 4 x + 4 : (x + 2) (x + 2)

= (x - 1) (x + 2) (x + 2)

Apply exponent rule:

aa = a^{2}

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

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

Popular Examples

simplify 7/10-1/3+2 simplify

\frac{7}{10} - \frac{1}{3} + 2

x^{2} + 12 x - 3 = 0

simplify 12sqrt(3-7\sqrt{108)}simplify

12 3 - 7108

(3x)/5-(x-3)/2 =(x+2)/3

\frac{3 x}{5} - \frac{x - 3}{2} = \frac{x + 2}{3}

simplify (7/6)/8 simplify

\frac{\frac{7}{6}}{8}

Frequently Asked Questions (FAQ)

What is factor x^3+3x^2-4 ?
The solution to factor x^3+3x^2-4 is (x-1)(x+2)^2