[" -degq(N) "quad " (ii) deg "q(t)=deg n(t)],[" FKERCISE "2.4" (Optional) "^(*)]

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

If deg (f(x))=5 & deg (g(x))=4 then deg [f(x)-g(x)] is

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

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

Let t_(n) denote the n^(th) term in a binomial expansion. If (t_(6))/(t_(5)) in the expansion of (a+b)^(n+4) and (t_(5))/(t_(4)) in the expansion of (a+b)^(n) are equal, then n is

Find the terms (s) indicated in each case: (i) t_(n)=t_(n-1)+3(ngt1),t_(1)=1,t_(4) (ii) T_(n)=(T_(n-1))/(T_(n-2)),(ngt2),T_(1)=1,T_(2)=2,T_(6)

If for a sequence (T_(n)), (i) S_(n) = 2n^(2)+3n+1 (ii) S_(n) =2 (3^(n)-1) find T_(n) and hence T_(1) and T_(2)

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

If t_(n)" is the " n^(th) term of an A.P., then t_(2n) - t_(n) is …..