Sum of two cubes
Factorise a³ + b³
a³ + b³ = (a + b)(a² - ab + b²)
Difference of two cubes
Factorise a³ - b³
a³ - b³ = (a - b)(a² + ab + b²)
Base cubic sketch
Quick sketch of y = x³
Note, same rough shape for the graph of any function y=x^(positive odd integer >1)
eg: x^5, x^7, x^9…
Base quartic sketch
Quick sketch of y = x⁴
Note, same rough shape for the graph of any function y=x^(positive even integer >1)
eg: x^2, x^4, x^6…
What is the divisor?
x-1
What is the quotient?
What is the remainder?