# Lesson 24

Polynomial Identities (Part 2)

### Problem 1

Is $$a^6 + b^6 = (a^2+b^2)(a^4 - a^2b^2 + b^4)$$ an identity? Explain or show your reasoning.

### Solution

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### Problem 2

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

### Solution

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### Problem 3

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

### Solution

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### Problem 4

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

### Solution

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(From Unit 2, Lesson 11.)

### Problem 5

Identify all values of $$x$$ that make the equation true.

1. $$\frac{x+5}{x+11}=\frac{1}{x+5}$$
2. $$\frac{2x-3}{x} = \frac{14}{x+5}$$

### Solution

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(From Unit 2, Lesson 22.)

### Problem 6

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

### Solution

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(From Unit 2, Lesson 23.)