Polynomial Identity Lesson

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.

• $$x=\frac{9\pm3\sqrt{13}}{6}$$  

• $$x=\frac{3\pm3\sqrt{13}}{2}$$  

• $$x=\frac{3+3\sqrt{13}}{2}$$  

• $$x=\frac{3-3\sqrt{13}}{2}$$