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 $P(x)=x^4+3x^3-3x^2-7x+6$ given that $x=1$ is a double root. Hence sketch $y=P(x)$.

Sketch the graph of $y=(x+1{)}^3(2-x)$ showing all $x$ and $y$ intercepts and point(s) of inflexion.

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

Sketch the graph of $y=x(x+2)(x-1{)}^2$ showing all $x$ and $y$ intercepts and point(s) of contact.

Find the zeros of the polynomial $P(x)=5x(x-1{)}^3$ and sketch the polynomial.

Factorise $P(x)=x^3-x^2-x+1$, find the zeros of $P(x)$ and sketch the polynomial.

Find the zeros of the polynomial $P(x)={\displaystyle \frac{1}{3}}{x}^3(x-2{)}^2(x+2)$ and sketch the polynomial.

Find the zeros of the polynomial $P(x)=-x^4+8x^2-16$ and sketch the polynomial.

The polynomial $P(x)=x^3+p{x}^2+qx+r$ has roots $0,2,-2$.

(i) Find $p,q$ and $r$.
(ii) Without calculus sketch the graph of $y=P(x)$.
(iii) Hence, solve the inequality $x^3-4x\ge 0$.

Find the zeros of the polynomial $P(x)=x(x+2)(x-1{)}^3$ and sketch $y=P(x)$