What is factor 2x^5+5x^4-26x^3-65x^2+72x+180 ?

The solution to factor 2x^5+5x^4-26x^3-65x^2+72x+180 is (x-2)(x+2)(2x+5)(x+3)(x-3)

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factor 2x^5+5x^4-26x^3-65x^2+72x+180

factor

2 x^{5} + 5 x^{4} - 26 x^{3} - 65 x^{2} + 72 x + 180

(x - 2) (x + 2) (2 x + 5) (x + 3) (x - 3)

Solution steps

2 x^{5} + 5 x^{4} - 26 x^{3} - 65 x^{2} + 72 x + 180

Use the rational root theorem

= (x - 2) \frac{2 x ^{5} + 5 x ^{4} - 26 x ^{3} - 65 x ^{2} + 72 x + 180}{x - 2}

\frac{2 x ^{5} + 5 x ^{4} - 26 x ^{3} - 65 x ^{2} + 72 x + 180}{x - 2} = 2 x^{4} + 9 x^{3} - 8 x^{2} - 81 x - 90

= (x - 2) (2 x^{4} + 9 x^{3} - 8 x^{2} - 81 x - 90)

Factor

2 x^{4} + 9 x^{3} - 8 x^{2} - 81 x - 90 : (x + 2) (2 x + 5) (x + 3) (x - 3)

= (x - 2) (x + 2) (2 x + 5) (x + 3) (x - 3)

(a + bi) (- c + bi)

\frac{20}{10}

(3 x)^{2}

\frac{a}{1}

4 x^{2} - 3 x^{2}

What is factor 2x^5+5x^4-26x^3-65x^2+72x+180 ?
The solution to factor 2x^5+5x^4-26x^3-65x^2+72x+180 is (x-2)(x+2)(2x+5)(x+3)(x-3)