In `p(x)=5x^(7)-6x^(5)+7x+6`, what is the
(i) coefficient of `x^(5)` (ii) degree of `p(x)` (iii) consstant term.

If p(x)=3x^(4)-5x^(3)+x^(2)+8 , then p(1) =

Find the confficient of x^5 in the product (1+2x)^6 (1-x)^7 using binomial theoram.

If p(x)=4+3x-x^(3)+5x^(6) , then p(3) =

The coefficients of x^7 in the expansion of (x^3+3x+3/x+1/x^3)^5 is

int (x^(2)dx)/(x^(6)-5x^(3)+6)

Determine whether each pair of the following equations are solvable or not by finding the relations among the ratios of the co-efficients of the same variable and the constant terms of each pair. Also write whether the graphs of the equations of each pair are parallel or intersecting of coinciding or not: (i) 5x+3y=11, 2x-7y=-12, (ii) 6x-8y=2, 3x-4y=1, (iii) 8x-7y=0, 8x-7y=56,

Let f(x)=(x^(2)-6x+5)/(x^(2)-5x+6). Then match the expressions/statements in List I with expression /statements in List II.

The coefficients of 5th ,6th and 7th terms in the expansion of (1+x)^(n) are A.P . ,find n .

If in the binomial expansion of (a+x) ^(n) where n is a natural number, the coefficients of 5 th, 6 th and 7 th terms are in A.P., then n is equal to-