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)

- 0.04 x^{2} + 2000 x

\frac{( x + 1 ) ( x - 1 )}{x + 3} > 0

∣ 4 x - 1 ∣ + 4 x < ∣ x + 2 ∣

- 3.56 = 2.7 (4 - y)

5 x \cdot 5 x

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)