Lesson 9 Pascal’s Pride Solidify Understanding

Ready

Given: $f (x) = (x + 7) (2 x - 3)$ and $g (x) = (x + 7)$ .

Find $g (x) f (x)$ .

Given: $f (x) = (5 x + 7) (- 3 x + 11)$ and $g (x) = (- 3 x + 11)$ .

Find $g (x) f (x)$ .

Given: $f (x) = (x + 2) (x^{2} + 3 x + 2)$ and $g (x) = (x + 2)$ .

Find $g (x) f (x)$ .

Multiply. Write your answers in standard form.

$(a + b) (a + b)$

$(x - 3) (x + 9)$

$(2 x - 5) (5 x + 2)$

$(3 x + 1) (x + 1)$

$(6 x + 7) (5 x - 4)$

$(2 x - 7) (x^{2} + 2)$

Write each polynomial is standard form. Pascal’s Triangle can be used as a tool, if desired.

$p (x) = {(x + 1)}^{5}$

$p (x) = {(x - y)}^{3}$

$p (x) = {(x - 1)}^{4}$

$p (x) = {(x + 4)}^{3}$

$p (x) = {(x + 2)}^{4}$

$p (x) = {(3 x + 1)}^{3}$

Graph each function.

$h (x) = x^{2} + 2$

$h (x) = 3 {(x - 2)}^{2}$

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

$h (x) = \frac{1}{2} {(x - 1)}^{2} - 2$