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Popular >

factor x^3+5x^2+7x+3

Solution

factor

x^{3} + 5 x^{2} + 7 x + 3

Solution

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

Solution steps

x^{3} + 5 x^{2} + 7 x + 3

Use the rational root theorem

= (x + 1) \frac{x ^{3} + 5 x ^{2} + 7 x + 3}{x + 1}

\frac{x ^{3} + 5 x ^{2} + 7 x + 3}{x + 1} = x^{2} + 4 x + 3

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

Factor

x^{2} + 4 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+5x^2+7x+3 ?
The solution to factor x^3+5x^2+7x+3 is (x+1)^2(x+3)