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

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

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

Without solving , comment upon the nature of roots of each of the following equations : (i) 7x^(2)-9x+2=0 (ii) 6x^(2)-13x+4=0 (iii) 25x^(2)-10x+1=0 (iv) x^(2)+2sqrt(3)x-9=0 (v) x^(2)-ax-b^(2)=0 (vi) 2x^(2)+8x+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

If alpha ,beta are the roots of the equation 9x^(2)-7x+6=0 then the equation whose roots are 3 alpha+2 , 3 beta+2 is - 1) 3x^(2)+19x-144=0 2) 3x^(2)-19x+144=0 3) 3x^(2)-19x+44=0 4) 3x^(2)-19x-44=0

If alpha,beta are roots of 7x^(2)+9x-2=0, find their position with respect to following (a)-3 (b) 0(c)1

Discuss the maximum possible number of positive the negative roots of the polynomial equation 9x^9 - 4x^8 + 4x^7 - 3x^6 + 2x^5 + x^3 + 7x^2 + 7x + 2 =0

Use the remainder theorem to factorise the expression 2x^(3) + x^(2) + 7x-6 . Hence, solve the equation 2x^(3) + 9x^(2) + 7x-6=0