# Lesson 4

Equations and Their Zeros

• Let’s work with equations in standard and factored forms

### 4.1: Math Talk: Equations with Zero

Mentally find a value for $$a$$ that will make the equation true.

$$4a = 0$$

$$3 \boldcdot 0 = 14a$$

$$0 \boldcdot a = 0$$

$$ab = 0$$ with $$b \neq 0$$

1. Evaluate each function for $$x = 6$$.
1. $$f(x)=(x+4)(x-6)$$
2. $$g(x)=(x-6)(x+6)$$
3. $$h(x)=x^2-6x$$
4. $$j(x)=2(\frac{2}{3}x+8)(x-6)$$
5. $$k(x)= 0.5x^2 - 3x$$
2. What do these functions have in common?
3. For each function, find another value of $$x$$ that would give the same output as you found earlier?

### 4.3: Card Sort: Matching Equation Forms

Your teacher will give you a set of cards. Match each function in standard form with an equivalent function in factored form.