What is factor 20x^3-76x^2+5x+150 ?

The solution to factor 20x^3-76x^2+5x+150 is (2x-5)^2(5x+6)

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factor 20x^3-76x^2+5x+150

factor

20 x^{3} - 76 x^{2} + 5 x + 150

(2 x - 5)^{2} (5 x + 6)

Solution steps

20 x^{3} - 76 x^{2} + 5 x + 150

Use the rational root theorem

= (2 x - 5) \frac{20 x ^{3} - 76 x ^{2} + 5 x + 150}{2 x - 5}

\frac{20 x ^{3} - 76 x ^{2} + 5 x + 150}{2 x - 5} = 10 x^{2} - 13 x - 30

= (2 x - 5) (10 x^{2} - 13 x - 30)

Factor

10 x^{2} - 13 x - 30 : (5 x + 6) (2 x - 5)

= (2 x - 5) (5 x + 6) (2 x - 5)

Apply exponent rule:

aa = a^{2}

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

= (2 x - 5)^{2} (5 x + 6)

4 x^{2} + 196

\frac{3 x ^{2}}{4 x ^{3}}

2100000 e^{0.026 (5)}

- 10 x - 5

What is factor 20x^3-76x^2+5x+150 ?
The solution to factor 20x^3-76x^2+5x+150 is (2x-5)^2(5x+6)