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

4-19.

If

*p*(*x*) =*x*^{2}+ 5*x*− 6, find: Homework Help ✎Where

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

*p*(*x*) intersects the*x*-axis.If

*q*(*x*) =*x*^{2}+ 5*x*.Find the intercepts of

*q*(*x*) and compare the graphs of*p*(*x*) and*q*(*x*).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) = *x*^{2} + 5*x* − 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.