Sunday, 31 March 2013

Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm (i)deg p(x) = deg q(x) (ii) deg q(x) = deg r(x) And (iii) deg r(x) = 0


Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm
(i)deg p(x) = deg q(x)  (ii) deg q(x) = deg r(x) And (iii) deg r(x) = 0
We can write  many such examples
(i)deg p(x) = deg q(x)
We can write  many such examples
P(x)  = x2   , q(x) = x2  g(x) = 1 R(x) = 0

(ii) deg q(x) = deg r(x)
Q(x) = x , R(x) = x , p(x) = x2 + x   g(x) = x2

(iii) deg r(x) = 0
Q(x) = 1 , R(x) = 1 , p(x) = x+1, g(x) = x

9 comments:

  1. Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm
    deg p(x) = deg g(x)?

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  2. degree of p(x) should be equal to degree of g(x)
    so there may be more such examples
    i.e.
    p(x) = 5 , g(x) = 6
    or
    p(x)= 2x + 3 , g(x) = 4x +1

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  3. give example of polynomial p(x),g(x),q(x) and r(x) which satisfies the division algorithm and degree of q(x)=0

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  4. the degree of p(x) is 7 and the degree of q(x) is 3 then the degree of p(x)/q(x)=

    ReplyDelete