Download Do Now 3/22/07

“Multiply Using FOIL”
When multiplying a binomial and another
polynomial use the FOIL method.
First
Outer
Inner
Last
“Multiply Using FOIL”
(x – 4) (3x + 2)
3x  2x  12 x  8
2
combine like terms
3x  10 x  8
2
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
(x + 5)(x + 5)
x² + 10x + 25
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
(2x – 4)(2x – 4)
4x² – 16x + 16
“Using the Binomial Square Patterns
and FOIL”
(a + 4)²
square pattern
a  8a  16
2
(a + 4)(a + 4)
a  4a  4a  16
2
combine like terms
a  8a  16
2
“Using the Binomial Square Patterns
and FOIL”
(5x – 2y)²
square pattern
25 x  20 xy  4 y
2
(5x – 2y)(5x – 2y)
25x  10 xy  10 xy  4 y
2
2
combine like terms
25 x  20 xy  4 y
2
2
2
Sum and Difference Pattern
(a + b)(a – b)
a² – b²
(a + b)(a – b)
a  ab  ab  b
2
combine like terms
a b
2
2
2
“The difference
of two squares”
Sum and Difference Pattern
(x + 3)(x – 3)
x² – 9
x  3x  3x  9
2
combine like terms
x 9
2
“The difference
of two squares”
Word Problem

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.
x
20in
FOIL
x
4x² + 40x + 44x + 440
4x² + 84x + 440
x
NJASK7 Prep
“Box-and-Whisker Plots”

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
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.
3

(2) Find the GREATEST number.
27
Draw a box-and-whisker plot for the following
set of data.
 (3)
SECOND QUARTILE-
Find the MEDIAN of the whole set –
Smallest
Greatest
3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27
15
(14 + 16) ÷ 2= 15
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
Smallest
Greatest
3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27
9
First quartile
(8 + 10) ÷ 2= 9
15
Second quartile
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 –
mallest
Greatest
3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27
9
First quartile
15
20
Second quartile
Third quartile
(20 + 20) ÷ 2= 20
Draw a box-and-whisker plot for the following
set of data.
 Plot the FIVE points on a number line.
Smallest
Greatest
3, 6, 8, 10, 13, 14, 16, 18, 20, 20, 25, 27
9
First quartile
3
 Draw
9
20
15
Third quartile
Second quartile
15
20
the box-and-whisker plot.
27
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
