" v(iii) "6x^(2)-3-7x

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients:(iii) 6x^2-3-7x

Factorise (i) x^(2)+9x+18 " " (ii) 6x^(2)+7x-3 (iii) 2x^(2)-7x-15 " " (iv) 84-2r-2r^(2)

Factorise (i) x^(2)+9x+18 (ii) 6x^(2)+7x-3 (iii) 2x^(2)-7x-15 (iv) 84-2r-2r^(2)

Subtract: (i) 5a + 7b - 2c from 3a - 7b + 4c (ii) a - 2b - 3c from -2a + 5b - 4c (iii) 5x^(2) - 3xy + y^(2) from 7x^(2) - 2xy - 4y^(2) (iv) 6x^(3) - 7x^(2) + 5x - 3 from 4 - 5x + 6x^(2) - 8x^(3) (v) x^(3) + 2x^(2) y + 6xy^(2) - y^(3) from y^(3) - 3xy^(2) - 4x^(2) (vi) -11 x^(2) y^(2) + 7xy - 6 from 9x^(2) y^(2) - 6xy + 9 (vii) -2a + b + 6d from 5a - 2b - 3c

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 polynomials : (i) 3x^(2)-7x+6 " " (ii) x^(2)-sqrt(3)x+4 " " (iii) 3sqrt(x)+5 " " (iv) 13 " " (v) a+(5)/(a)+6

Which of the following are polynomials : (i) 3x^(2)-7x+6 " " (ii) x^(2)-sqrt(3)x+4 " " (iii) 3sqrt(x)+5 " " (iv) 13 " " (v) a+(5)/(a)+6

simplify: (i) 2p^(3) - 3p^(2) + 4p - 5- 6p^(3) + 2p^(2) - 8p - 2 + 6p + 8 (ii) 2x^(2) - xy + 6x - 4y + 5xy - 4x + 6x^(2) + 3y (iii) x^(4) - 6x^(3) + 2x - 7 + 7x^(3) - x + 5x^(2) + 2 - x^(4)