Lesson 23 Polynomial Identities Part 1

Lesson 23 Polynomial Identities Part 1

Multiple Select

Select all the identities.

• $\left(x+2\right)^3=x^3+8$

• $\left(x^6+x\right)=\left(x-1\right)\left(x^5+x^4+x^3+x^2+x\right)$

• $\left(x^2-1\right)\left(x^4+x^2+1\right)=x^6-1$

• $\left(x+1\right)\left(x^4-x^3+x^2-x+1\right)=x^5+1$

• $\left(x^3-1\right)\left(x^3+1\right)=x^6-1$

Multiple Choice

 $2\left(x+1\right)^2=\left(2x+2\right)^2$ 

 Is this an identity?

• Yes

• No

Open Ended

Open Ended

Multiple Select

 $\frac{3x+1}{x}=\frac{1}{x-3}$  Solve for x, select all that apply.

•  $x=\frac{9\pm3\sqrt{13}}{6}$  

•  $x=\frac{3\pm3\sqrt{13}}{2}$  

•  $x=\frac{3+3\sqrt{13}}{2}$  

•  $x=\frac{3-3\sqrt{13}}{2}$