What is factor 3x^5-14x^4-14x^3+36x^2+43x+10 ?

The solution to factor 3x^5-14x^4-14x^3+36x^2+43x+10 is (x+1)^2(3x+1)(x-2)(x-5)

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factor 3x^5-14x^4-14x^3+36x^2+43x+10

factor

3 x^{5} - 14 x^{4} - 14 x^{3} + 36 x^{2} + 43 x + 10

(x + 1)^{2} (3 x + 1) (x - 2) (x - 5)

Solution steps

3 x^{5} - 14 x^{4} - 14 x^{3} + 36 x^{2} + 43 x + 10

Use the rational root theorem

= (x + 1) \frac{3 x ^{5} - 14 x ^{4} - 14 x ^{3} + 36 x ^{2} + 43 x + 10}{x + 1}

\frac{3 x ^{5} - 14 x ^{4} - 14 x ^{3} + 36 x ^{2} + 43 x + 10}{x + 1} = 3 x^{4} - 17 x^{3} + 3 x^{2} + 33 x + 10

= (x + 1) (3 x^{4} - 17 x^{3} + 3 x^{2} + 33 x + 10)

Factor

3 x^{4} - 17 x^{3} + 3 x^{2} + 33 x + 10 : (x + 1) (3 x + 1) (x - 2) (x - 5)

= (x + 1) (x + 1) (3 x + 1) (x - 2) (x - 5)

Apply exponent rule:

aa = a^{2}

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

= (x + 1)^{2} (3 x + 1) (x - 2) (x - 5)

10 x^{2} - 33 x - 7

x^{2} + 13 x y - 68 y^{2}

1.75

lo g_{4} (x^{2} - 49) - 5 lo g_{4} (x + 7)

- 2 + 3 (\frac{5}{6}) \geq \frac{1}{3}

What is factor 3x^5-14x^4-14x^3+36x^2+43x+10 ?
The solution to factor 3x^5-14x^4-14x^3+36x^2+43x+10 is (x+1)^2(3x+1)(x-2)(x-5)