The equation `(24x^(2) + 25x - 47)/(ax-2) = 8x-3 -53/(ax-2)`is true for all values of `x ne 2/a`, where a is constant. What is the value of a?

The equation (24x^(2)+25x-47)/(ax-2)=-8x-3-(53)/(ax-2) is true for all values of xne(2)/(a) where a is a constant. What is the value of a?

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 ?

(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 ?

(ax+7)(bx-1)=12x^(2)+kx+(b-13) If the equation above is true for all values of x where a, b, and k are non-zero constants, what is the value of k?

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 ?

Show that f(x) = x^(3) + 3ax^(2) + 3a^(2) + b is increasing on R for all values of a and b.

(2x ^(2) + 3x -4) (3x +2) = 6x ^(3) + ax ^(2) -6x-8 In the above equation, a is a constant. If the equation is true for all value of x, what is the value of a ?

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 (ax+2)(bx+7)=15x^(2)+cx+14 for all values of x, and a+b=8 , what are the two possible values for c ?

(-3x^(2) + 5x -2) -2(x^(2)-2x-1) If the expression above is rewritten in the form ax^(2) + bx +c , where a, b, and c are constants, what is the value of b ?