Learning Target: I will recognize the types of
polynomials (mono, bi, tri and poly) and
multiply them together to get a single
polynomial.
HOMEWORK:
Day 1 - pg P6 #1-18 odds
Day 2 – Multiplying Binomials
Worksheet
SECTION 4: MULTIPLYING POLYNOMIALS
ACT PRACTICE
What is the difference when 2x - 3y is
subtracted from 7x + 8y?
A.
B.
C.
D.
E.
5x + 11y
9x + 5y
5x + 5y
-5x – 11y
5x – 11y
TYPES OF POLYNOMIALS
Type
Monomial
Binomial
Trinomial
Polynomial
# of Terms
Example
EX 1: WHERE YOU WILL SEE THIS

A child is walking away from a streetlight one
evening. The shadow the light casts is 6 feet
longer than the height of the light. The child is
4 feet shorter than the streetlight and casts a
shadow that is 4 feet long. How tall is the
streetlight?
EX 2: MULTIPLY THE FOLLOWING BINOMIALS
USING THE DISTRIBUTIVE PROPERTY
1. (x + 4)(x – 5)
2. (3x – 6)(-4x² - 1)
EX 3: MULTIPLY THE FOLLOWING BINOMIALS
USING THE “FOIL” METHOD
F________ O_________ I _________ L_________
1. (x + 4)(x – 5) =
F
O
I
L
TERMS
MULTIPLY
2. (3x – 6)(-4x² - 1) =
F
O
I
TERMS
MULTIPLY
Challenge: (4x + 1)(2x³ + 3x – 2)
L
EX 3: MULTIPLY THE FOLLOWING BINOMIALS
USING THE SQUARE METHOD.
1)
(x + 4)(x – 5)
2)
(3x – 6)(-4x² - 1)
WHICH METHOD DID YOU LIKE THE BEST? USE
THAT METHOD TO SIMPLIFY THE FOLLOWING:
1.
(3x – 4)(x + 5) = 3x² + 11x - 20
2.
(x + 1)(x – 8) = x² - 7x - 8
3.
(-2x² + 3)(4x – 7) = -8x³ +14x² + 12x - 21
4.
(5x + 3)(-4x + 2) = -20x² -2x + 6
HOMEWORK

Pg P6 #1-18 odds
Answers:
1. 𝒂𝟐 + 𝟔𝒂 + 𝟖
3. 𝒉𝟐 − 𝟏𝟔
5. 𝒃𝟐 + 𝒃 − 𝟏𝟐
7. 𝒓𝟐 − 𝟓𝒓 − 𝟐𝟒
9. 𝒑𝟐 + 𝟏𝟔𝒑 + 𝟔𝟒
11.𝟐𝒄𝟐 − 𝟗𝒄 − 𝟓
13.𝟔𝒎𝟐 − 𝟕𝒎 − 𝟐𝟎
15.𝟐𝒒𝟐 − 𝟏𝟑𝒒 − 𝟑𝟒
17. A. n – 7, n + 2
B. 𝒏𝟐 − 𝟓𝒏 − 𝟏𝟒
EX 4: MORE THAN BINOMIALS

(4x + 1)(2x³ + 3x – 2)
ACT PRACTICE
The expression (𝑥 − 𝑦)(𝑥 2 + 𝑥𝑦 + 𝑦 2 ) is
equivalent to which of the following?
A.
B.
C.
D.
E.
𝑥2 − 𝑦2
𝑥 3 − 𝑥𝑦 2
𝑥3 − 𝑦3
𝑥3 + 𝑦3
𝑥 3 − 𝑥 2𝑦 + 𝑦2
EX 5: AREA

Find the area of the rectangle:
𝒙𝟐 + 𝟒𝒙 − 𝟑
𝒙+𝟐
EX 6: THE CHALLENGE!

Simplify (𝑥 − 𝑦)(2𝑥 + 3𝑦)(2𝑎 − 𝑏)
Homework: Multiplying Binomials Worksheet