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
Answered by Gustas M. Maths tutor

3603 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

y = 2/x^3 find and expression for dy/dx


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


Evaluate f'(1) for the function f(x) = (x^2 + 2)^5


How do I find the limit of a sequence that is expressed as a fraction?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning