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^2 -4

wijii4

wijii4

Answered question

2022-09-24

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 2 4

Answer & Explanation

Katelyn Ryan

Katelyn Ryan

Beginner2022-09-25Added 11 answers

We use the division algorithm to find the quotient and remainder:
1 _ x 2 4 )     x 2 x 2 + 4 _ 4
Thus
Q ( x ) + R ( x ) D ( x ) = 1 + 4 x 2 4 Substitute Q(x)=1, R(x)=4, and D ( x ) = x 2 4
Result:
1 + 4 x 2 4

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