If `x^2-4` is a factor of `2x^3+ax^2+bx+12`, where a and b are constant. then the value of a and b are:

If x-3 is a factor of ax^(2)-a^(2)x+12 , where a is a positive constant, what is the value of a ?

If x + 3 is a factor of x^(3) + ax^(2) - bx + 6 and a + b = 7. Then, the values of a and b are respectively

If x^(4)+2x^(3)+ax^(2)+bx+9 is a perfect square, where a and b are positive real numbers, then the value of a and b are:

If x-1 is a factor of 2x^(3)+ax^(2)+2bx+1 and 2a-b=4 . Find the values of a and b.

The sum of −2x^2 + x + 31 and 3x^2 + 7x − 8 can be written in the form ax^2 + bx + c , where a, b, and c are constants.What is the value of a + b + c ?

(ax+3)(5x^2 -bx+4)=20x^3 -9x^2 -2x +12 The equation above is true for all x, where a and b are constants. What is the value of ab ?