[" If the zeroes of a quadratic polynomial "ax^(2)+bx+],[c,c!=0" are equal,then "]

If the zeroes of the quadratic polynomial ax^(2)+bx+c,cne0 are equal,then

Are the following statements 'True' or 'False'? Justify your answer. (i) If the zeroes of a quadratic polynomial ax^(2) +bx +c are both positive, then a,b and c all have the same sign. (ii) If the graph of a polynomial intersects the X-axis at only one point, it cannot be a quadratic polynomial. (iii) If the graph of a polynomial intersects the X-axis at exactly two points, it need not ve a quadratic polynomial. (iv) If two of the zeroes of a cubic polynomial are zero, then it does not have linear and constant terms. (v) If all the zeroes of a cubic polynomial are negative, then all the coefficients and the constant term of the polynomial have the same sign. (vi) If all three zeroes of a cubic polynomial x^(3) +ax^(2) - bx +c are positive, then atleast one of a,b and c is non-negative. (vii) The only value of k for which the quadratic polynomial kx^(2) +x +k has equal zeroes is (1)/(2) .

If the zeroes of the quadratic polynomial ax^(2) +bx +c , where c ne 0 , are equal, then

If both the zeroes of a quadratic polynomial ax^(2) + bx + c are equal and opposite in sign, then b is

If the zeroes of the quadratic polynomial ax^2+bx+c ,where a!=0 and c!=0 are equal then

The product and sum of the zeroes of the quadratic polynomial ax^(2) + bx +c respectively are

If one of the zeroes of the quadratic polynomial ax^(2) + bx + c is 0, then the other zero is

If both the zeros of the quadratic polynomial ax^2 + bx + c are equal and opposite in sign, then find the value of b.

The sum and product of the zeroes an a quadratic polynomial P (x) = ax^(2) + bx +c are -3 and 2 respectively, Show that b+c = 5a.

If a and b are then zeroes of the quadratic polynomial f(x)ax^(2)+bx+c=1 then equals : (i)alpha^(2)+beta^(2)(ii)alpha^(3)+beta^(3)