Polynomial class 8 3A question 31-232

Factories class 8

A quadratic polynomial maps from [-2,3] onto [0,3] and touches X-axis at x=3, then the polynomial is

Find zeroes of the given quadratic polynomials and verify the relation between zeroes and coefficients : sqrt(3)x^(2)+8x+5sqrt(3)

From question number 1 to 16, find zeroes of the given quadratic polynomials and verify the relation between zeroes and coefficients : 3t^(2)+5t

For each of the following find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also, find the zeroes of these polynomials by factorisation. (i) (-8)/(3),(4)/(3) (ii) (-3)/(2sqrt(5)),-(1)/(2)

Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial : x^3-3x+1,x^5-4x^3+x^2+3x+1