Certainly! Let's fill in the blanks to complete the lists and the explanation of the FOIL Method step-by-step.
### 1) Fill in the blanks to complete the lists.
Quadratic Trinomial
- Is a polynomial.
- Has exactly 3 terms.
- The greatest exponent is 2.
FOIL Method
- Is a method for multiplying two binomials.
- Summarizes the steps in the distributive property.
- Helps you remember how to multiply each term in one binomial by each term in the other binomial.
### 2) Write first, outer, inner, or last in each blank.
THE FOIL METHOD
Let [tex]\( A, B, C, \)[/tex] and [tex]\( D \)[/tex] represent terms in binomials.
[tex]\[
(A+B)(C+D) = AC + AD + BC + BD
\][/tex]
- First: Refers to [tex]\( AC \)[/tex], the product of the first terms in each binomial.
- Outer: Refers to [tex]\( AD \)[/tex], the product of the outer terms.
- Inner: Refers to [tex]\( BC \)[/tex], the product of the inner terms.
- Last: Refers to [tex]\( BD \)[/tex], the product of the last terms.
Here’s how it looks:
[tex]\[
(A+B)(C+D) = \underbrace{AC}_{\text{First}} + \underbrace{AD}_{\text{Outer}} + \underbrace{BC}_{\text{Inner}} + \underbrace{BD}_{\text{Last}}
\][/tex]
