9.2 Notes
Day 2
Challenge and Application!
Explain in 2-3 sentences the difference between the following two examples. Then, simplify both.
a) (3x 4  2x )  (2x 2  5x  3x 4 )
b) (3x 4  2x )(2x 2  5x  3x 4 )
a)
b)
Simplify the polynomial. Then, name the polynomial by degree and number of terms.
1) (2x – 4)(3x+7)
2) 8y (y 2  2y  1)  (y 3  5y )
3) 3x  2 x  1   x  3
4) 3 a  1 4a  5  7  a 
5) What is the difference between Perimeter and Area?
6) What is the formula for the following:
a) Area of a Square = _____
_ b) Area of a Rectangle = _____
_ c) Area of a Triangle = __ ______
Applications
Example 1: Write a simplified polynomial that represents the AREA of the shaded region.
Note: Diagrams are not drawn to scale.
a)
b)
x+7
6x
3x – 2
4x2+3x+1
Example 2: Write a simplified polynomial for the AREA of the shaded region only.
a)
b)
3
2x
2x
x-6
5x
20
x-6
Example 3: Try a real life example!
You are designing a picture frame to surround a rectangular picture with dimensions
20 inches by 22 inches. The width of the frame around the picture is the same on every
side.
a) Write a polynomial that represents the total PERIMETER of the picture frame.
b) Write a polynomial that represents the total AREA of the picture frame.
c) Find the AREA of the picture frame when the width of the frame is 4 inches.