Basic Mathematics for College Students

72. SEWING Write an expression that represents the
    length of the yellow trim needed to outline a pennant
    with the given side lengths.


73. What are like terms?


74. Explain how to add two polynomials.


75. Explain how to subtract two polynomials.


76. When two binomials are added, is the result always a
    binomial? Explain.


77. BASKETBALL SHOES Use the following
    information to find how much lighter the Kevin
    Garnett shoe is than the Michael Jordan shoe.

Nike Air Garnett III Air Jordan XV

Synthetic fade mesh

and leather.

Sizes 6 –18

Weight: 13.8 oz

(^1) –
2
Full grain leather upper
with woven pattern.
Sizes 6 –18
Weight: 14.6 oz
(^1) –
2

REVIEW

WRITING

DOLPHINS

(2x – 15) cm

(2x – 15) cm

x cm

78.AEROBICS The number of calories burned when

doing step aerobics depends on the step height.

How many more calories are burned during a

10-minute workout using an 8-inch step instead

of a 4-inch step?

Source:Reebok Instructor News (Vol. 4, No. 3, 1991)

79. THE PANAMA CANAL A ship entering the
    Panama Canal from the Atlantic Ocean is lifted up
    85 feet to Lake Gatun by the Gatun Lock system. See
    the illustration. Then the ship is lowered 31 feet by
    the Pedro Miguel Lock. By how much must the ship
    be lowered by the Miraflores Lock system for it to
    reach the Pacific Ocean water level?


80. CANAL LOCKS What is the combined length of the
    system of locks in the Panama Canal? Express your
    answer as a mixed number and as a decimal, rounded
    to the nearest tenth.

Atlantic

Ocean

Pacific

Ocean

Gatun Locks

1.5 miles long

Pedro Miguel Lock

5/6 mile long

Miraflores Locks

1 mile long

Gatun

Lake

Same mean sea level

A-14 Appendix II Polynomials

Step height (in.) Calories burned per minute

4 4.5

6 5.5

8 6.4

10 7.2

SECTION II.3

Multiplying Polynomials

Objectives

1 Multiply monomials.

2 Multiply a polynomial by a

monomial.

3 Multiply binomials.

4 Multiply polynomials.

We now discuss how to multiply polynomials. We will begin with the simplest case—

finding the product of two monomials.

Multiply monomials.

To multiply 4x^2 by 2x^3 , we use the commutative and associative properties of

multiplication to reorder and regroup the factors.

Group the coefficients together

and the variables together.

Simplify: x^2 x^3 x^2 ^3 x^5.

This example suggests the following rule.

 8 x^5

(4x^2 )( 2x^3 )(42)(x^2 x^3 )

1