f ( x ) = 2 x ^3 − 5 x ^2 + ax + a. Given that (x + 2) is a factor of f ( x ), find the value of the constant a. (3 marker)

If x+2 is definitely a factor, that means when we sub x=-2 in, we should get 0 at the end. So 2(-2)^3 - 5(-2)^2 + a(-2) + a = 0So -16 -20= aso a = -36

Related Maths A Level answers

All answers ▸

Curve C has equation x^2 - 3xy - 4y^2 + 64 = 0. a) find dy/dx in terms of x and y. b) find coordinates where dy/dx=0.


Prove the property: log_a(x) + log_a(y) = log_a(xy).


Find the co ordinates and nature of the turning points of the curve C withe equation, y=2x^3-5x^2-4x+2


How can you integrate the function (5x - 1)/(x^(3)-x)?