Section 5.3 : Graphing Polynomials
Sketch the graph of each of the following polynomials.
- \(f\left( x \right) = {x^3} - 2{x^2} - 24x\) Solution
- \(g\left( x \right) = - {x^3} + 3x - 2 = - {\left( {x - 1} \right)^2}\left( {x + 2} \right)\) Solution
- \(h\left( x \right) = {x^4} + {x^3} - 12{x^2} + 4x + 16 = {\left( {x - 2} \right)^2}\left( {x + 1} \right)\left( {x + 4} \right)\) Solution
- \(P\left( x \right) = {x^5} - 12{x^3} - 16{x^2} = {x^2}{\left( {x + 2} \right)^2}\left( {x - 4} \right)\) Solution