Question 5 - Division algorithm - Chapter 2 Class 10 Polynomials

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Ex2.3, 5 Give examples of polynomial p(x), g(x), q(x) and r(x), which satisfy the division algorithm and (i) deg p(x) = deg q(x) Introduction Ex2.3, 5 Give examples of polynomial p(x), g(x), q(x) and r(x), which satisfy the division algorithm and (i) deg p(x) = deg q(x) We have to find p(x), g(x), q(x) & r(x) Let us assume g(x) to be a small number g(x) = 2 And let p(x) = 2x + 4 So, q(x) = x + 2 & r(x) = 0 Degree of p(x) = 1 Degree of q(x) = 1 deg p(x) = deg q(x) Ex2.3, 5 Give examples of polynomial p(x), g(x), q(x) and r(x), which satisfy the division algorithm and (ii) deg q(x) = deg r(x) We have to find p(x), g(x), q(x) & r(x) Let g(x) = x + 1 And let p(x) = x2 + 3 So, q(x) = x & r(x) = x + 3 Degree of q(x) = 1 Degree of r(x) = 1 deg q(x) = deg r(x) Ex2.3, 5 Give examples of polynomial p(x), g(x), q(x) and r(x), which satisfy the division algorithm and (iii) deg r(x) = 0 We have to find p(x), g(x), q(x) & r(x) Let us assume g(x) to be a small number g(x) = 2 And let p(x) = 2x + 4 So, q(x) = x + 2 & r(x) = 0 Degree of r(x) = 0