SOLUTION: (x4 − x2 + 3x − 10) ÷ (x + 5) divide the polynomials by either long division or synthetic division.

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Question 812929: (x4 − x2 + 3x − 10) ÷ (x + 5)
divide the polynomials by either long division or synthetic division.
Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!
Whether you use long or synthetic division, it is important to notice that there is no term in the dividend!


Since synthetic division is usually easier I choose to divide this way. Since synthetic division is designed to work with divisors in the form of (x - c) [where 'c' is some number], we must think of the x+5 as x-(-5):
-5 |    1   0   -1     3   -10
----       -5   25  -120   585
       ------------------------
        1  -5   24  -117   575

The number in the lower right, 575, is the remainder. The rest of the bottom line is the quotient. The quotient of "1 -5 24 -117" translates into: . So, after putting the remainder over the divisor, we get:
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