The cubic polynomial f(x) is defined by f(x) = 2x^3 -7x^2 + 2x + 3. Given that (x-3) is a factor of f(x), express f(x) in factorised form.

f(x) = (x-3)(2x^2 - x - 1)f(x) = (x-3)(2x +1)(x-1)x = 3, -1/2, 1 are roots of the cubic equation.

OM

Related Maths A Level answers

All answers ▸

If I have the equation of a curve, how do I find its stationary points?


Solve the simultaneous equations: y - 3x + 2 = 0 y^2 - x - 6x^2 = 0


Solve the following equation, give the answer/answers as coordinates. y=3x^2 , y=2x+5.


The normal to the curve C when x=1 intersects the curve at point P. If C is given by f(x)=2x^2+5x-3, find the coordinates of P