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^2 /x-1

Zackary Duffy

Zackary Duffy

Answered question

2022-09-08

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 2 / x 1

Answer & Explanation

coccusk7

coccusk7

Beginner2022-09-09Added 14 answers

We use the division algorithm to find the quotient and remainder:
x + 1 _ ( x 1 ) x 2 x 2 + x _ x + 1 _ 1
Thus
Q ( x ) + R ( x ) D ( x ) = x + 1 + 1 x 1 Substitute Q(x)=x+1, R(x)=1, and D(x)=x-1
Result:
x + 1 + 1 x 1

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