What is factor 6x^5-13x^4-46x^3+27x^2+110x+56 ?

The solution to factor 6x^5-13x^4-46x^3+27x^2+110x+56 is (x+1)^2(x-2)(3x+4)(2x-7)

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factor 6x^5-13x^4-46x^3+27x^2+110x+56

factor

6 x^{5} - 13 x^{4} - 46 x^{3} + 27 x^{2} + 110 x + 56

(x + 1)^{2} (x - 2) (3 x + 4) (2 x - 7)

Solution steps

6 x^{5} - 13 x^{4} - 46 x^{3} + 27 x^{2} + 110 x + 56

Use the rational root theorem

= (x + 1) \frac{6 x ^{5} - 13 x ^{4} - 46 x ^{3} + 27 x ^{2} + 110 x + 56}{x + 1}

\frac{6 x ^{5} - 13 x ^{4} - 46 x ^{3} + 27 x ^{2} + 110 x + 56}{x + 1} = 6 x^{4} - 19 x^{3} - 27 x^{2} + 54 x + 56

= (x + 1) (6 x^{4} - 19 x^{3} - 27 x^{2} + 54 x + 56)

Factor

6 x^{4} - 19 x^{3} - 27 x^{2} + 54 x + 56 : (x + 1) (x - 2) (3 x + 4) (2 x - 7)

= (x + 1) (x + 1) (x - 2) (3 x + 4) (2 x - 7)

Apply exponent rule:

aa = a^{2}

(x + 1) (x + 1) = (x + 1)^{2}

= (x + 1)^{2} (x - 2) (3 x + 4) (2 x - 7)

\frac{1 7 ^{- 3} + 1 7 ^{- 5}}{1 7 ^{- 4}}

\frac{2}{7} \times 3

\frac{15}{4} - 3

\frac{4}{5} - \frac{1}{9}

(x - 4) (x + 6)

What is factor 6x^5-13x^4-46x^3+27x^2+110x+56 ?
The solution to factor 6x^5-13x^4-46x^3+27x^2+110x+56 is (x+1)^2(x-2)(3x+4)(2x-7)