Which of the graphs below is the graph of \(y = 3 - 2{\left( {x + 1} \right)^3}\) ?

Which of the graphs below is the graph of \(y = {\left( {x + 1} \right)^2}{\left( {2 - x} \right)^2}\) ?

Which of the graphs below is the graph of \(y = \left( {x + 1} \right){\left( {2 - x} \right)^3}\) ?

Which of the graphs below is the graph of \(y = {\left( {x + 1} \right)^3}{\left( {2 - x} \right)^2}\) ?

Sketch the graph of \(y = (x + 1)(x - 2)(x - 1)\) showing all \(x\) and \(y\) intercepts.

Factories \(P(x) = {x^2} - {x^4}\), find the zeros of \(P(x)\) and sketch the polynomial.

Given that \(x = 2\) is the zero of the polynomial \(P(x) = {x^3} - 3x - 2\), find the other zeros, sketch the polynomial and hence solve the inequality \({x^3} - 3x - 2 > 0\).

Find the roots of the polynomial \(P(x) = {x^4} + 3{x^3} - 3{x^2} - 7x + 6\) given that \(x = 1\) is a double root. Hence sketch \(y = P(x)\).