[" 9.If a mapping "f{(1,2),(-1,6),(2,3),(3,6)}" defined by "],[f(x)=ax^(2)+bx+c," then find the value of "a,b&c]

If the mapping {(1,2),(-1,6),(2,3),(3,6) is descibed by the rule f(x)=ax^2 +bx+c , then find the assigned values of a, b and c.

If (x-1)^(2) is a factor of ax3+bx2+c, find the value of a+b+c

If f(x)=ax^(2)+bx+c and f(0) = 2, f(1) = 1, f(4) = 6, then find the valuse of a, b and c.

If f(x)=ax^(2)+bx+c and f(x+1)=f(x)+x+1 , then the value of (a+b) is __

If f(x)=ax^(2)+bx+c and f(x - 1) = f(x) + 2x + 1. then find the values of a and b.

If (x+1) and (x-2) are factors of x^(3)+ax^(2)-bx-6, then find the values of a and b respectively.

If (x-alpha) is the H.C.F of x^(2)+ax+b and x^(2)+bx+a, then find the value of and a+b+1

If (x-alpha) is the H.C.F of x^(2)+ax+b and x^(2)+bx+a, then find the value of and a+b+1

If (x-alpha) is the H.C.F of x^(2)+ax+b and x^(2)+bx+a, then find the value of and a+b+1