MATHEMATICS · Multi-part · US High School · Algebra 2 · Polynomial Functions · Polynomial Functions
Problem
Let f(x)=4x3−2x2+1 and g(x)=x3+3x. Define h(x)=f(x)−2g(x).
(i) Obtain a simplified expression for h(x).
(ii) Determine the degree and leading coefficient of h(x).
(iii) Decide whether h(x) is an even function, an odd function, or neither. Give a reason for your answer.