What is (15x^7-10x^3+5x^4)/(5x^3) ?

The solution to (15x^7-10x^3+5x^4)/(5x^3) is (x+1)(3x^3-3x^2+3x-2)

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simplify (15x^7-10x^3+5x^4)/(5x^3)

simplify

\frac{15 x ^{7} - 10 x ^{3} + 5 x ^{4}}{5 x ^{3}}

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

Solution steps

\frac{15 x ^{7} - 10 x ^{3} + 5 x ^{4}}{5 x ^{3}}

Factor

15 x^{7} - 10 x^{3} + 5 x^{4} : 5 x^{3} (x + 1) (3 x^{3} - 3 x^{2} + 3 x - 2)

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

Cancel the common factor:

5

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

Cancel the common factor:

x^{3}

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

- 12 \times (- 8.6) - 9.4

23 - 4

24 + 9

25 + 4

28 + 7

What is (15x^7-10x^3+5x^4)/(5x^3) ?
The solution to (15x^7-10x^3+5x^4)/(5x^3) is (x+1)(3x^3-3x^2+3x-2)