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Popular >

factor x^3+x^2-5x+3

Solution

factor

x^{3} + x^{2} - 5 x + 3

Solution

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

Solution steps

x^{3} + x^{2} - 5 x + 3

Use the rational root theorem

= (x - 1) \frac{x ^{3} + x ^{2} - 5 x + 3}{x - 1}

\frac{x ^{3} + x ^{2} - 5 x + 3}{x - 1} = x^{2} + 2 x - 3

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

Factor

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

= (x - 1) (x - 1) (x + 3)

Apply exponent rule:

aa = a^{2}

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

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

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Frequently Asked Questions (FAQ)

What is factor x^3+x^2-5x+3 ?
The solution to factor x^3+x^2-5x+3 is (x-1)^2(x+3)