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.

Find the coefficient of x^(5) in (x^(2) - 3/x)^(7)

If p(x) = 5x^(3) - 3x^(2) + 7x -9 , find (i) p(-1) (ii) p(2)

f(x) is polynomial function of degree 6, which satisfies ("lim")_(xvec0)(1+(f(x))/(x^3))^(1/x)=e^2 and has local maximum at x=1 and local minimum at x=0a n dx=2. Column I, Column II The coefficient of x^6 , p. 0 The coefficient of x^5 , q. 2 The coefficient of x^4 , r. -(12)/5 The coefficient of x^3 , s. 2/3

The coefficient of x^(2) and x in 2x^(3) -5x^(2)+ 6x-3 are respectively ………………….

If a polynomial p(x)=x^(2)-6x-7 is divided by g(x), we get (x-7)/(x+1) then g(x) is:

Using algebra identity , find the coefficients of x^(2) ,x and constant term without actual expansion. (i) (x+5)(x+6)(x+7) (ii) (2x+ 3 )( 2x-5) (2x-6)

Using algebraic identity, find the coefficient of x^(2) , x and constant term without actual expansion. (x+5) ( x+ 6) (x+ 7)

If int (x^(6)+7x^(5)+6x^(4)+5x^(3)+4x^(2)+3x+1)e^(x)dx is equal to sum_(k=1)^(alpha) betax^(k).e^(x)+C (where C is constant of integration) then (alpha + beta) is