Lesson 11

What are the points of intersection between the graphs of the functions $f(x)=x^2(x+1)$ and $g(x)=x+1$?

Select all the points of intersection between the graphs of the functions $f(x)=(x+5)(x-2)$ and $g(x)=(2x+1)(x-2)$.

$(\text-5, 0)$

$(\text-\frac12, 0)$

$(\text-2,\text-12)$

$(2, 0)$

$(4, 18)$

$(5, 30)$

What are the solutions to the equation $(x-3)(x+5)=\text-15$?

What are the $x$-intercepts of the graph of $y=(5x+7)(2x-1)(x-4)$?

$\text-\frac75, \text{-}\frac12, 4$

$\frac57, \frac12, 4$

$\text{-}\frac75, \frac12, 4$

$\frac57, 2, 4$

Which polynomial function’s graph is shown here?

$f(x)=(x+1)(x+2)(x+4)$

$f(x)=(x+1)(x-2)(x+4)$

$f(x)=(x-1)(x+2)(x-4)$

$f(x)=(x-1)(x-2)(x-4)$

Draw a rough sketch of the graph of $g(x)=\text-x^2(x+2)$.

The graph of a polynomial function $f$ is shown.

1. Is the degree of the polynomial odd or even? Explain how you know.
2. What is the constant term of the polynomial?