What is factor x^4-3x^3+6x^2+2x-60 ?

The solution to factor x^4-3x^3+6x^2+2x-60 is (x+2)(x-3)(x^2-2x+10)

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factor x^4-3x^3+6x^2+2x-60

factor

x^{4} - 3 x^{3} + 6 x^{2} + 2 x - 60

(x + 2) (x - 3) (x^{2} - 2 x + 10)

Solution steps

x^{4} - 3 x^{3} + 6 x^{2} + 2 x - 60

Use the rational root theorem

= (x + 2) \frac{x ^{4} - 3 x ^{3} + 6 x ^{2} + 2 x - 60}{x + 2}

\frac{x ^{4} - 3 x ^{3} + 6 x ^{2} + 2 x - 60}{x + 2} = x^{3} - 5 x^{2} + 16 x - 30

= (x + 2) (x^{3} - 5 x^{2} + 16 x - 30)

Factor

x^{3} - 5 x^{2} + 16 x - 30 : (x - 3) (x^{2} - 2 x + 10)

= (x + 2) (x - 3) (x^{2} - 2 x + 10)

+ (- 1.44)

\frac{9}{11} \div \frac{7}{22}

lo g_{10} (1 0^{l o g_{2} (3 x)})

2 (4) + 1

∣ 2 + 3 ∣

What is factor x^4-3x^3+6x^2+2x-60 ?
The solution to factor x^4-3x^3+6x^2+2x-60 is (x+2)(x-3)(x^2-2x+10)