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igor_vitrenko [27]
3 years ago
10

The division algorithm states that if​ p(x) and​ d(x) are polynomial functions with d left parenthesis x right parenthesis not e

quals 0 comma and the degree of​ d(x) is less than or equal to the degree of​ p(x), then there exist unique polynomial functions​ q(x) and​ r(x) such that
Mathematics
2 answers:
katrin [286]3 years ago
7 0

Answer:

In a division algorithm, p(x) refers to the dividend polynomial, d(x) refers to the divisor polynomial, q(x) refers to the quotient polynomial and r(x) refers to the residula polynomial.

The division algorithm is defined as

p(x)=d(x) \times q(x) +r(x)

Where p(x)\geq d(x) and d(x) \neq 0, other wise the algorithm won't be defined.

So, the complete paragraph is: "if p(x) and d(x) are polynomial functions with d(x)\neq 0 and the degree of d(x) is less than or equal to the degree of p(x), then there exist unique polynomial functions q(x) and r(x) such that  p(x)=d(x) \times q(x) +r(x).

mamaluj [8]3 years ago
5 0

Answer:

I guess you ran out of space

Step-by-step explanation:

I think you have to prove that you get a line. Just take the limit of the resulting remainder. That goes to zero.

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