What is factor x^5-3x^4-12x^3+30x^2+20x-48 ?

The solution to factor x^5-3x^4-12x^3+30x^2+20x-48 is (x-2)(x+3)(x-4)(x^2-2)

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factor x^5-3x^4-12x^3+30x^2+20x-48

factor

x^{5} - 3 x^{4} - 12 x^{3} + 30 x^{2} + 20 x - 48

(x - 2) (x + 3) (x - 4) (x^{2} - 2)

Solution steps

x^{5} - 3 x^{4} - 12 x^{3} + 30 x^{2} + 20 x - 48

Use the rational root theorem

= (x - 2) \frac{x ^{5} - 3 x ^{4} - 12 x ^{3} + 30 x ^{2} + 20 x - 48}{x - 2}

\frac{x ^{5} - 3 x ^{4} - 12 x ^{3} + 30 x ^{2} + 20 x - 48}{x - 2} = x^{4} - x^{3} - 14 x^{2} + 2 x + 24

= (x - 2) (x^{4} - x^{3} - 14 x^{2} + 2 x + 24)

Factor

x^{4} - x^{3} - 14 x^{2} + 2 x + 24 : (x + 3) (x - 4) (x^{2} - 2)

= (x - 2) (x + 3) (x - 4) (x^{2} - 2)

- (4 - x) = \frac{3}{4} (x - 6)

\frac{25}{64}

\frac{4}{m + 1} + \frac{3}{m - 2}

\frac{( x ^{2} + x + 3 ) ( x - 2 )}{( x - 3 ) ( x + 1 )} \leq 0

\frac{9 x}{7} = 18

What is factor x^5-3x^4-12x^3+30x^2+20x-48 ?
The solution to factor x^5-3x^4-12x^3+30x^2+20x-48 is (x-2)(x+3)(x-4)(x^2-2)