What is factor x^3+x^2-21x-45 ?

The solution to factor x^3+x^2-21x-45 is (x+3)^2(x-5)

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factor x^3+x^2-21x-45

factor

x^{3} + x^{2} - 21 x - 45

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

Solution steps

x^{3} + x^{2} - 21 x - 45

Use the rational root theorem

= (x + 3) \frac{x ^{3} + x ^{2} - 21 x - 45}{x + 3}

\frac{x ^{3} + x ^{2} - 21 x - 45}{x + 3} = x^{2} - 2 x - 15

= (x + 3) (x^{2} - 2 x - 15)

Factor

x^{2} - 2 x - 15 : (x + 3) (x - 5)

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

Apply exponent rule:

aa = a^{2}

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

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

\frac{26}{34}

\frac{9}{4} \div \frac{3}{4}

3 - 32

\frac{1}{3} \times \frac{3}{2}

- 99

What is factor x^3+x^2-21x-45 ?
The solution to factor x^3+x^2-21x-45 is (x+3)^2(x-5)