91Ó°ÊÓ

If $p\left(x\right)=3x^2-2x+5\text{and}r\left(x\right)=x^3+x+1$ then find $p\left(2a^3\right)$.

If $p\left(x\right)=3x^2-2x+5\text{and}r\left(x\right)=x^3+x+1$ then find $r\left(x+1\right)$.

If $p\left(x\right)=3x^2-2x+5\text{and}r\left(x\right)=x^3+x+1$ then find $p\left(x^2+3\right)$.

If $p\left(x\right)=3x^2-2x+5\text{and}r\left(x\right)=x^3+x+1$ then find $2\left[p\left(x+4\right)\right]$.

If $p\left(x\right)=3x^2-2x+5\text{and}r\left(x\right)=x^3+x+1$ then find $r\left(x+1\right)-r\left(x^2\right)$.

If $p\left(x\right)=3x^2-2x+5\text{and}r\left(x\right)=x^3+x+1$ then find $3\left[p\left(x^2-1\right)\right]+4p\left(x\right)$.

For each graph,

a. Describe the end behaviour.

b. Determine whether it represents an odd-degree or an even-degree polynomial function, and

c. State the number of real zeros.

Graph the polynomial function $f\left(x\right)=x^3-x^2-4x+4$ by making table of values.

Tell whether the following statement is always, sometimes or never true. Explain. A polynomial function that has four real roots is a fourth-degree polynomial.

For each graph,

a. Describe the end behaviour.

b. Determine whether it represents an odd-degree or an even-degree polynomial function, and

c. state the number of real zeros.