" (ii) "(4x-1)(x+2)=2+7xquad d

If x ^(3) - 7x + 4 is divided by (x-1), (x +2) and (2x +1), then the find the respective remainders.

4x^2-7x-2=0

Check whether the following are quadratic equations : (1) (x-3)^(2)=x(2x-5) (2) (2x-3)(8x+1) = (4x+5)(4x-5) (3) (5x+3)(x-2)=(4x+3)(2x-1) (4) (2x+5)^(3)=8(x-1)^(3) (5) x^(2)+7x-8=x(x+5) (6) x^(3)+9x^(2)-7x+2=(x+3)^(3)

Find each of the following products: (i) (x + 3) (x - 3) (ii) (2x + 5)(2x - 5) (ii) (8 + x)(8 - x) (iv) (7x + 11y) (7x - 11y) (v) (5x^(2) + (3)/(4) y^(2)) (5x^(2) - (3)/(4) y^(2)) (vi) ((4x)/(5) - (5y)/(3)) ((4x)/(5) + (5y)/(3)) (vii) (x + (1)/(x)) (x - (1)/(x)) (viii) ((1)/(x) + (1)/(y)) ((1)/(x) - (1)/(y)) (ix) (2a + (3)/(b)) (2a - (3)/(b))

Factorise : x^(2) + (1)/(4x^(2)) + 1 - 7x - (7)/(2x)

Add 7x^(2)-4x+5,-3x^(2)+2x-1 and 5x^(2)-x+9

Number of real roots of the equation 2^x+2^(x-1)+2^(x-2)=7^x+7^(x-1)+7^(x-2) is (A) 4 (B) 2 (C) 1 (D) 0

Number of real roots of the equation 2^x=2^(x-1)+2^(x-2)=7^x+7^(x-1)+7^(x-2) is (A) 4 (B) 2 (C) 1 (D) 0

Factors of x^2+7x+10 are A. (x-5) (x-2) B. (x+5) (x+2) C. (x-5) (x+2) D. (x-4) (x+2)

lim_(x->oo)(30+4sqrt(x)+7x^(1/3))/(2+sqrt(4x-7)+(6x-2)^(1/3) equals a)15 (b) 2 (c) 3/2 (d) 0