Find `a` and `b` when `ax^2+bx-10=0; x=-2/5` and `x=5/3`

Find the values of constants a and b when x- 2 and x + 3 both are the factors of expression x^3+ax^2+bx -12.

Find the condition if equations ax^2+bx+c =0 and x^2+2x+3 =0 have a common root. (a,b,cinR)

Let both root of equation ax^2 - 2bx + 5 = 0 are alpha and root of equation x^2 - 2bx - 10 = 0 are alpha and beta . Find the value of alpha^2 + beta^ 2

Let both root of equation ax^2 - 2bx + 5 = 0 are alpha and root of equation x^2 - 2bx - 10 = 0 are alpha and beta . Find the value of alpha^2 + beta^ 2

If (ax^(3)+bx^(2)-5x+2) has (x+2) as a factor and leaves a remainder 12 when divided by ( x-2) , find the values of a and b .

p(x)= ax^2+bx+5 :- Find p(1).

If ax^3+bx^2+x-6 has (x+2) as a factor and a remainder 4 when divided by (x-2), find the vallues of a and b.

If ax^(3)+bx^(2)+x-6 has x+2 as a factor and leaves a remainder 4 when divided by (x-2), find the value of a and b

if (x-5) ia a factor of p(x)=x^(3)+ax^(2)+bx-20 and leave a remainder (-2) when divided by (x-3) find the value of a and b

If x^3+ ax^2+ bx + 6 has x -2 as a factor and leaves a remainder 3 when divided by x- 3, find the values of a and b.