### Home > CCA2 > Chapter 2 > Lesson 2.1.2 > Problem2-17

2-17.

If $p(x)=x^2+5x−6$, find: Homework Help ✎

1. Where p(x) intersects the y-axis.

Substitute 0 for x, and solve for $p(x)$.

(0, –6)

2. Where p(x) intersects the x-axis.

Substitute 0 for $p(x)$, and solve for x.

You can factor and use the Zero Product Property once you write your equation.

(–6, 0) and (1, 0)

3. If $q(x)=x^2+5x$, find the intercepts of q(x) and compare the graphs of $p(x)$ and $q(x)$.

Look at parts (a) and (b) to help find the intercepts.
What do you notice about the graphs? Are they related?

x-intercepts: (0, 0), (–5, 0)
y-intercept: (0, 0)
$p(x)$ is 6 units lower than $q(x)$.

4. Find $p(x)−q(x)$.

Subtract $q(x)$ from $p(x)$. You should notice a relationship between your answers for parts (c) and (d).