Lesson 4Pascal’s PrideSolidify Understanding

Given: and .

Find .

Given: and .

Find .

Given: and .

Find .

Given: and and .

Find .

Find .

Given: and and .

Find .

Find .

Set

11.

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

 ${\left(x+a\right)}^{0}$ $1$ $1$ ${\left(x+a\right)}^{1}$ $x+a$ $1\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}1$ ${\left(x+a\right)}^{2}$ ${x}^{2}+2ax+{a}^{2}$ $1\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}2\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}1$ ${\left(x+a\right)}^{3}$ ${x}^{3}+3a{x}^{2}+3{a}^{2}x+{a}^{3}$ $1\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}3\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}3\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}1$ ${\left(x+a\right)}^{4}$ ${x}^{4}+4a{x}^{3}+6{a}^{2}{x}^{2}+4{a}^{3}x+{a}^{4}$ $1\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}4\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}6\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}4\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}\phantom{\rule{0.278em}{0ex}}1$

Go

Graph each function.