(" iv ")*3x^(2)-x-4

Find the roots of the quadratic equations by applying the quadratic formula.(i) 2x^(2)-7x+3=0 (ii) 2x^(2)+x-4=0 (iii) 4x^(2)+4sqrt(3)x+3=0( iv )2x^(2)+x+4=0

Factorize following expressions (i) x^(2)+3x-40" (ii)"x^(2)+5x-14 (iii) x^2-3x-4" (iv)"3x^2-10x+8

factorise (i) 2x^(3)-3x^(2)-17x+30 (ii) x^(3) -6x^(2)+11x-6 (iii) x^(3)+x^(2)-4x-4 (iv) 3x^(2)-x^(2)-3x+1

Write an anti derivative for each of the following functions (i) cos2x (ii) e^(4x) (iii) 1/x,x!=0 (iv) 3x^(2)+4x^(3)

Find the quotient and remainder of the following using synthetic division: (i) (x^(3) +x^(2) -7x-3) +(x-3) (ii) (x^(3) +2x^(2) -x-4) +(x+2) (iii) (3x^(3) -2x^(2) +7x -5) +(x+3) (iv) (8x^(4) -2x^(2) +6x +5) +(4x+1)

Factorize following expressions (i) x^(2)+3x-40" (ii)"x^2-3x-40" (iii)"x^(2)+5x-14 (iv) x^2-3x-4" (v)"x^2-3x-40" (vi)"3x^2-10x+8 (vii) 12x^2-x-35" (viii)"3x^2-5x-2" (ix)"3x^2-7x+4 (x) 7x^2-8x+1" (xi)"2x^2-17x+26" (xii)"3a^2-7a-6 (xiii) 14a^2+a-3

Draw the graphs of the given polynomial and find the zeroes. Justify the answer. (iv) p(x) = x^(2) + 3x -4

(i) (3x^(2) +4x-5)/x (ii) ((x^(3) +1)(x-2))/x^(2) (iii) (x-4)/(2sqrtx) (iv) (( 1+x)sqrtx)/root3(x) (v) (ax^(2) +bx+c)/sqrtx (vi) (a+b cos x)/sin x