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Home > A2C > Chapter 4 > Lesson 4.1.2 > Problem 4-19

4-19.
  1. If p(x) = x2 + 5x − 6, find: Homework Help ✎

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

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

    3. If q(x) = x2 + 5x.

      1. Find the intercepts of q(x) and compare the graphs of p(x) and q(x).

      2. Find p(x) − q(x).

Set x to 0: p(x) = (0)2 + 5(0) − 6

p(x) intersects the y-axis at (0, −6).

Set y to 0: (0) = x2 + 5x − 6

0 = (x + 6)(x − 1)

p(x) intersects the x-axis at (−6, 0) and (1, 0).

Follow the steps in parts (a) and (b).

How are the positions of the graphs different? Are their sizes different?

Subtract the two expressions.