" 1.(i) "3x^(2)+7x+2

Without solving, find the nature of the roots of the following equations: (i) 3x^(2)-7x+5=0 . (ii) 4x^(2)+4x+1=0 . (iii) 3x^(2)+7x+2=0 . (iv) x^(2)+px-q^(2)=0 .

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

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

I. 3x^(2) + 7x = 6 " " II. 6(2y^(2)+1) = 17 y

(i) 1+2x+3x^(2)+4x^(3)I+ ………….. When |x|lt1 (ii) 1+3x+5x^(2)+7x^(3)+ …………. When |x|lt1 (iii) 1+4x+7x^(2)+10x^(3)+ ……………..when |x|lt 1.

Simplify: 5x - 2x ( x- 1) A. 3x - 2 B. 3x + 2 C. 7x + 2x^(2) D. 7x - 2x^(2)