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Popular >

factor x^3+2x^2-7x+4

Solution

factor

x^{3} + 2 x^{2} - 7 x + 4

Solution

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

Solution steps

x^{3} + 2 x^{2} - 7 x + 4

Use the rational root theorem

= (x - 1) \frac{x ^{3} + 2 x ^{2} - 7 x + 4}{x - 1}

\frac{x ^{3} + 2 x ^{2} - 7 x + 4}{x - 1} = x^{2} + 3 x - 4

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

Factor

x^{2} + 3 x - 4 : (x - 1) (x + 4)

= (x - 1) (x - 1) (x + 4)

Apply exponent rule:

aa = a^{2}

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

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

Popular Examples

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\frac{8}{2 14}

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Frequently Asked Questions (FAQ)

What is factor x^3+2x^2-7x+4 ?
The solution to factor x^3+2x^2-7x+4 is (x-1)^2(x+4)