What is factor 4x^3+8x^2-115x+175 ?

The solution to factor 4x^3+8x^2-115x+175 is (2x-5)^2(x+7)

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factor 4x^3+8x^2-115x+175

factor

4 x^{3} + 8 x^{2} - 115 x + 175

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

Solution steps

4 x^{3} + 8 x^{2} - 115 x + 175

Use the rational root theorem

= (2 x - 5) \frac{4 x ^{3} + 8 x ^{2} - 115 x + 175}{2 x - 5}

\frac{4 x ^{3} + 8 x ^{2} - 115 x + 175}{2 x - 5} = 2 x^{2} + 9 x - 35

= (2 x - 5) (2 x^{2} + 9 x - 35)

Factor

2 x^{2} + 9 x - 35 : (2 x - 5) (x + 7)

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

Apply exponent rule:

aa = a^{2}

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

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

4 x y - 8 x^{2} y + 24 x^{4} y^{5}

3 j^{2} + 10 j + 7

4 x + 6 < 3 x - 5

f = (\frac{1}{7})^{2}

0.25 k + 1.5 - k - 3.5

What is factor 4x^3+8x^2-115x+175 ?
The solution to factor 4x^3+8x^2-115x+175 is (2x-5)^2(x+7)