What is factor x^3+x^2-56x+144 ?

The solution to factor x^3+x^2-56x+144 is (x-4)^2(x+9)

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factor x^3+x^2-56x+144

factor

x^{3} + x^{2} - 56 x + 144

(x - 4)^{2} (x + 9)

Solution steps

x^{3} + x^{2} - 56 x + 144

Use the rational root theorem

= (x - 4) \frac{x ^{3} + x ^{2} - 56 x + 144}{x - 4}

\frac{x ^{3} + x ^{2} - 56 x + 144}{x - 4} = x^{2} + 5 x - 36

= (x - 4) (x^{2} + 5 x - 36)

Factor

x^{2} + 5 x - 36 : (x - 4) (x + 9)

= (x - 4) (x - 4) (x + 9)

Apply exponent rule:

aa = a^{2}

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

= (x - 4)^{2} (x + 9)

(5 - x - y)^{2}

0.2 8^{2}

- 6.43 - 22.3

121 x^{2} - 25

6 x \times 2 x

What is factor x^3+x^2-56x+144 ?
The solution to factor x^3+x^2-56x+144 is (x-4)^2(x+9)