Show how you can rewrite (x+1)(x-2)(x+3) into the form of ax^3 + bx^2 + cx + d

Split the first equation into three parts, i.e. (x+1), (x-2) and (x+3). Multiply the first two parts to get x2- x - 2, then multiply the result with the third part to get x3 + 2x2 - 5x - 6. All that is left now is to solve the equation x3 + 2x2 - 5x - 6 = ax3 + bx2 + cx + dand you can see that a = 1b = 2c = -5d = -6

GM

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.


The line AB has equation 3x + 5y = 7 (a. Find the gradient of AB)


What is the derivative of f(x)=sqrt(3x+2)=(3x+2)^(1/2)?


A curve has equation y = x^3 - 6x^2 - 15x. The curve has a stationary point M where x = -1. Find the x-coordinate of the other stationary point on the curve.