What is factor 3x^4+5x^3+25x^2+45x-18 ?

The solution to factor 3x^4+5x^3+25x^2+45x-18 is (3x-1)(x+2)(x^2+9)

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factor 3x^4+5x^3+25x^2+45x-18

factor

3 x^{4} + 5 x^{3} + 25 x^{2} + 45 x - 18

(3 x - 1) (x + 2) (x^{2} + 9)

Solution steps

3 x^{4} + 5 x^{3} + 25 x^{2} + 45 x - 18

Use the rational root theorem

= (3 x - 1) \frac{3 x ^{4} + 5 x ^{3} + 25 x ^{2} + 45 x - 18}{3 x - 1}

\frac{3 x ^{4} + 5 x ^{3} + 25 x ^{2} + 45 x - 18}{3 x - 1} = x^{3} + 2 x^{2} + 9 x + 18

= (3 x - 1) (x^{3} + 2 x^{2} + 9 x + 18)

Factor

x^{3} + 2 x^{2} + 9 x + 18 : (x + 2) (x^{2} + 9)

= (3 x - 1) (x + 2) (x^{2} + 9)

2 x^{2} - 5 x - 25

- x^{4} + 5 x^{2} - 4

y^{2} + 6 y - 16

r - (- 5) > - 2

What is factor 3x^4+5x^3+25x^2+45x-18 ?
The solution to factor 3x^4+5x^3+25x^2+45x-18 is (3x-1)(x+2)(x^2+9)