CPM Homework Help : A2C Problem 4-19

If $p\left(x\right) = x^{2} + 5x − 6$ , find:

Hint (a):

Set $x$ to $0: p\left(x\right) = \left(0\right)^{2} + 5\left(0\right) − 6$

Answer (a):

$p\left(x\right)$ intersects the y-axis at $\left(0, −6\right)$ .

Hint (b):

Set y to $0: \left(0\right) = x^{2} + 5x − 6$

$0 = \left(x + 6\right)\left(x − 1\right)$

Answer (b):

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

Find the intercepts of $q\left(x\right)$ and compare the graphs of $p\left(x\right)$ and $q\left(x\right)$ .
Find $p\left(x\right) − q\left(x\right)$ .

Hint (c):

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

Hint 2 (c):

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

More Help (c):

Subtract the two expressions.