1. First Outer Inner Last “Multiply Using FOIL”
When multiplying a binomial and another polynomial use the method.
FOIL
First
Outer
Inner
Last

2. “Multiply Using FOIL”
(x – 4)
(3x + 2)
combine like terms

3. Section 9.3 “Find Special Products of Polynomials”
When squaring binomials, you can use the following patterns to help you.
Binomial Square Pattern (addition)
(a + b)²
a² + 2ab + b²
(a + b)(a + b)
(x + 5)²
x² + 10x + 25
(x + 5)(x + 5)

4. Section 9.3 “Find Special Products of Polynomials”
When squaring binomials, you can use the following patterns below to help you.
Binomial Square Pattern (subtraction)
(a – b)²
a² – 2ab + b²
(a – b)(a – b)
(2x – 4)²
4x² – 16x + 16
(2x – 4)(2x – 4)

5. “Using the Binomial Square Patterns and FOIL”
combine like terms

6. “Using the Binomial Square Patterns and FOIL”
(5x – 2y)²
(5x – 2y)
(5x – 2y)
square pattern
combine like terms

7. Sum and Difference Pattern
(a + b)
(a – b)
a² – b²
(a + b)
(a – b)
“The difference
of two squares”
combine like terms

8. Sum and Difference Pattern
(x + 3)
(x – 3)
x² – 9
combine like terms
“The difference
of two squares”

9. Word Problem (2x +20)(2x + 22) 4x² + 40x + 44x + 440 4x² + 84x + 440
You are designing a frame to surround a rectangular picture. The width of the frame around the picture is the same on every side. The dimensions of the picture are shown below 22in. by 20in. Write a polynomial that represents the total area of the picture and the frame. x
(2x +20)(2x + 22)
22 in.
FOIL
20in x x
4x² + 40x + 44x + 440
4x² + 84x + 440 x

10. NJASK7 Prep

11. “Box-and-Whisker Plots”
Uses the MEDIAN of a set of data.
The “FIVE” points of a box-and-whisker plot
(1) Find the SMALLEST number.
(2) Find the GREATEST number.
(3) Find the MEDIAN of the whole set – SECOND QUARTILE
(4) Find the MEDIAN of the numbers below the SECOND QUARTILE - FIRST QUARTILE
(5) Find the MEDIAN of the numbers above the SECOND QUARTILE – THIRD QUARTILE

12. Draw a box-and-whisker plot for the following set of data.
27, 6, 8, 13, 10, 14, 16, 18, 25, 20, 20, 3
3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27
Find the “FIVE” points of a box-and-whisker plot
(1) Find the SMALLEST number.
(2) Find the GREATEST number. 3 27

13. Draw a box-and-whisker plot for the following set of data.
(3) SECOND QUARTILE Find the MEDIAN of the whole set –
Greatest
Smallest
3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27 15
( ) ÷ 2= 15

14. Draw a box-and-whisker plot for the following set of data.
(4) FIRST QUARTILE – Find the MEDIAN of the numbers below (smaller than) the SECOND QUARTILE
Greatest
Smallest
3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27 9 15
First quartile
Second quartile
(8 + 10) ÷ 2= 9

15. Draw a box-and-whisker plot for the following set of data.
(5) THIRD QUARTILE
Find the MEDIAN of the numbers above (more than) the SECOND QUARTILE –
Greatest
Smallest
3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27 20 9 15
First quartile
Second quartile
Third quartile
( ) ÷ 2= 20

16. Draw a box-and-whisker plot for the following set of data.
Plot the FIVE points on a number line.
Draw a box-and-whisker plot for the following set of data.
Greatest
Smallest
3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27 20 9 15
First quartile
Third quartile
Second quartile 3 3 9 9 15 15 20 20 27 27
Draw the box-and-whisker plot.

17. Homework Text p. 572, #4-16 multiples of 4, #24,28,32, 38
 Study for quiz Friday sections 9.1 – 9.3
Adding and Subtracting Polynomials
Multiplying Polynomials
Find Special Products of Polynomials