Let `f(x) = ax^2 + bx + c` is a quadratic polynomial if `3a + sqrt3b+c=1 and 4a + 2b + c = 0` then which ofthe following is/are not possible-

Let f (x) =ax ^(2) +bx + c,a ne 0, such the f (-1-x)=f (-1+ x) AA x in R. Also given that f (x) =0 has no real roots and 4a + b gt 0. Let alpha =4a -2b+c, beta =9a+3b+c, gamma =9a -3b+c, then which of the following is correct ?

Let f (x) =ax ^(2) +bx + c,a ne 0, such the f (-1-x)=f (-1+ x) AA x in R. Also given that f (x) =0 has no real roots and 4a + b gt 0. Let alpha =4a -2b+c, beta =9a+3b+c, gamma =9a -3b+c, then which of the following is correct ?

Let f(x)=x^(3)+ax^(2)+bx+c where a,b,c in R, then which of the following statement(s) is/are correct?

Let P(x) be the polynomial x^(3)+ax^(2)+bx+c whre a,b,c in R. If P(-3)=P(2)=0 and P'(-3)<0, which of the following is a possible value of c?

The graph of a quadratic polynomial ax^(2)+bx+c=y(a,b,c,in R,a!=0) then the incorrect statement is

If a + b + c = 0 then the quadratic equation 3ax^(2) + 2bx + c = 0 has

If a + b + c = 0 then the quadratic equation 3ax^(2) + 2bx + c = 0 has

If one zero of a quadratic polynomial p(x) =ax^(2)+bx+c is square of the other, then give the relation in a, b and c.