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

Check whether 5x +1 is a factor of 5x^(3) + 26x^(2) + 35x + 6 or not.

If p(x)=x^(2)-5x-6 , then find the values of p(1),p(2),p(3),p(0),p(-1),p(-2),p(-3) .

If both (x-2) and (x - (1)/(2)) are fractors of p x ^(2)- 5x +r, then show that p=r.

(5/6)^(3/4)" when divied by "(5/6)^(7/6)" becomes "(5/6)^(7-x) , the value of x is

Find differentiation of y w.r.t x. (i) y=x^(2)-6x (ii) y=x^(5)+2e^(x) (iii) y=4 ln x +cos x

Factorise : 6x^(2) + 5x - 6

Find the vaoue of each of the folllowing polynomials for the indicated value of variables: (i) p(x) = 4x ^(2) - 3x + 7 at x =1 (ii) q (y) = 2y ^(3) - 4y + sqrt11 at y =1 (iii) r (t) = 4t ^(4) + 3t ^(3) -t ^(2) + 6 at t =p, t in R (iv) s (z) = z ^(3) -1 at z =1 (v) p (x) = 3x ^(2) + 5x -7 at x =1 (vii) q (z) = 5z ^(3) - 4z + sqrt2 at z =2

Write the coefficient of x ^(2) in each of the following (i) 15 - 3x + 2x ^(2) (ii) 1- x^(2) (iii) pi x ^(2) - 3x + 5 (iv) sqrt2 x ^(2) + 5x -1

A functionfis defined by f(x)=2x-5. Write down the values of (i) f(0), (ii) f(7), (iii) f(-3)