" 9."3x^(2)-7x+5=0

Solve the following quadratic equations by factorisation method : (i) x^(3) - 4x + 3 = 0 (ii) m^(2) - m - 2 = 0 (iii) p^(2) + 9p + 20 =0 (iv) q^(2) + q-12= 0 (v) y^(2) + 2y - 35= 0 (vi) 3x^(2) + 5x= 0 (vii) x^(2) - 7x + 12=0 (viii) x^(2) - 7x - 18 = 0

If x^(4) -5x^(3) + 9x^(2) - 7x + 2 = 0 has a multiple roots of order 3 then the roots are

(i) Is x=5 a solution of the equation x^(2)-2x-15=0 ? (ii) Is x=-3 a solution of the equation 2x^(2)-7x+9=0 ?

Which of the following are quadratic equations? 3x^(2)-5x+9=x^(2)-7x+3 (ii) x+(1)/(x)=1( iii) x^(2)-3x=0

From the sum of 6x^(4) - 3x^(3) + 7x^(2) - 5x + 1 and -3x^(4) + 5x^(3) - 9x^(2) + 7x - 2 subtract 2x^(4) - 5x^(3) + 2x^(2) - 6x - 8

The remainder we get when we divide 2x^(5) - 3x^(4) + 5x^(3) - 3x^(2) + 7x - 9 with x^(2) - x- 3 is

Find the sum of the following algebraic expressions : 3x^(3) - 5x^(2) + 2x + 1 , 3x - 2x^(3) - x^(3) , 2x^(2) - 7x + 9

lim_(x rarr oo) (3x^(3) + 2x^(2) - 7x + 9)/(4x^(3) + 9x -2)

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