Lesson 24 Polynomial Identities Part 2

Lesson 24 Polynomial Identities Part 2

Multiple Choice

 $a^6+b^6=\left(a^2+b^2\right)\left(a^4-a^2b^2+b^4\right)$  Is this an identity?

• Yes

• No

Multiple Choice

Match each lettered expression with the number of an expression equivalent to it.

 $\frac{1}{a}+\frac{1}{a+1}$  

•  $\frac{2a^2}{a^2-1}$  

•  $\frac{3a+1}{a^2+a}$  

•  $\frac{2a^2+a-1}{a^2-a}$  

•  $\frac{a^2+1}{a^2-1}$  

•  $\frac{2a+1}{a^2+a}$  

Multiple Choice

Match each lettered expression with the number of an expression equivalent to it.

 $\frac{a+1}{a-1}+\frac{a+1}{a}$  

•  $\frac{2a^2}{a^2-1}$  

•  $\frac{3a+1}{a^2+a}$  

•  $\frac{2a^2+a-1}{a^2-a}$  

•  $\frac{a^2+1}{a^2-1}$  

•  $\frac{2a+1}{a^2+a}$  

Multiple Choice

Match each lettered expression with the number of an expression equivalent to it.

 $\frac{a+1}{a-1}+\frac{a+1}{a}$  

•  $\frac{2a^2}{a^2-1}$  

•  $\frac{3a+1}{a^2+a}$  

•  $\frac{2a^2+a-1}{a^2-a}$  

•  $\frac{a^2+1}{a^2-1}$  

•  $\frac{2a+1}{a^2+a}$  

Multiple Choice

Match each lettered expression with the number of an expression equivalent to it.

 $\frac{1}{a}+\frac{2}{a+1}$  

•  $\frac{2a^2}{a^2-1}$  

•  $\frac{3a+1}{a^2+a}$  

•  $\frac{2a^2+a-1}{a^2-a}$  

•  $\frac{a^2+1}{a^2-1}$  

•  $\frac{2a+1}{a^2+a}$  

Multiple Choice

 $\left(x^2+5x+4\right)\left(x+2\right)=A\left(x+1\right)$  
If this is an identity, what is a possible expression for A?

•  $x^2+6x+8$  

•  $\left(x^2+2x+2\right)$  

•  $x+2$  

•  $x^2-6x-8$  

Multiple Choice

What are the points of intersection between the graphs of the functions f(x)=(x+6)(2x+1) and g(x)=2x+1?

• $\left(-\frac{1}{2},0\right)\left(-5,-9\right)$

• $\left(-\frac{1}{2},0\right)$

• $\left(-5,-9\right)$

• $\left(5,9\right)\ \left(\frac{1}{2},0\right)$