Dividing polynomials-(x^3+4x^2+25)÷(x+5), the ANS is x^2-x+5 but I get x^2-x as my answer, please explain
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Dividing polynomials-(x^3+4x^2+25)÷(x+5), the ANS is x^2-x+5 but I get x^2-x as my answer, please explain

[From: ] [author: ] [Date: 11-11-15] [Hit: ]
......
Try to factor
x³ + 4x² + 25
Let add x² then subtract x²

x³ + 5x² - x² + 25
factor x² and -1

x²(x + 5) - 1(x² - 25)
x²(x + 5) -1(x - 5)(x + 5)

Factor x + 5

(x + 5)[x² - (x - 5)]
(x + 5)(x² - x + 5)

If you divide this by (x + 5), the factor (x + 5) cancel out and the answer is x² - x + 5
1
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