Use the polynomial division algorithm to write the rational function in the form Q(x) + R(x)/D(x), where the degree of R is less than the degree of D. x^3 -5/x^2 -1

kybudmanqm 2022-09-12 Answered
Use the polynomial division algorithm to write the rational function in the form Q(x) + R(x)/D(x), where the degree of R is less than the degree of D. x 3 5 / x 2 1
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acilschoincg8
Answered 2022-09-13 Author has 12 answers
We use the division algorithm to find the quotient and remainder:
x _ ( x 2 1 ) x 3 5 x 3 + x _ x 5
Thus
Q ( x ) + R ( x ) D ( x ) = x + x 5 x 2 1 Substitute Q(x)=x, R(x)=x-5, and D ( x ) = x 2 1
Result:
x + x 5 x 2 1

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