What is factor 2x^4+7x^3-87x^2-395x-175 ?

The solution to factor 2x^4+7x^3-87x^2-395x-175 is (2x+1)(x+5)^2(x-7)

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factor 2x^4+7x^3-87x^2-395x-175

factor

2 x^{4} + 7 x^{3} - 87 x^{2} - 395 x - 175

(2 x + 1) (x + 5)^{2} (x - 7)

Solution steps

2 x^{4} + 7 x^{3} - 87 x^{2} - 395 x - 175

Use the rational root theorem

= (2 x + 1) \frac{2 x ^{4} + 7 x ^{3} - 87 x ^{2} - 395 x - 175}{2 x + 1}

\frac{2 x ^{4} + 7 x ^{3} - 87 x ^{2} - 395 x - 175}{2 x + 1} = x^{3} + 3 x^{2} - 45 x - 175

= (2 x + 1) (x^{3} + 3 x^{2} - 45 x - 175)

Factor

x^{3} + 3 x^{2} - 45 x - 175 : (x + 5) (x + 5) (x - 7)

= (2 x + 1) (x + 5) (x + 5) (x - 7)

Apply exponent rule:

aa = a^{2}

(x + 5) (x + 5) = (x + 5)^{2}

= (2 x + 1) (x + 5)^{2} (x - 7)

(x - 2)^{2} = 16

1 = x^{2} - 6 x + 9

\frac{5}{2 - i}

∣ 5 x + 9 ∣ = ∣ 9 x + 4 ∣

120 p^{3} n^{2} + 24 p^{2} n^{2} - 40 n^{2 p} - 8 n

What is factor 2x^4+7x^3-87x^2-395x-175 ?
The solution to factor 2x^4+7x^3-87x^2-395x-175 is (2x+1)(x+5)^2(x-7)