Page 594 - Algebra 1

Example
5
Application_: Profit
If x2 + 5x + 4 items are sold, what is the total profit in terms of x? SOLUTION
x
A business makes a profit of 100x2 + 100x dollars for each item sold.
Multiply the profit for each item sold by the amount of items sold.
x4 __
2
100x2 +100x ·(x +5x+4)
x4 x2 + 5x + 4 ____
= 100x2 +100x · 1
x4 (x + 4)(x + 1)
Write the polynomial with a denominator of 1.
Factor.
Divide out like factors. Simplify.
5x2 4x2 _ _
____ = 100x(x+1) · 1
x43 (x + 4)(x + 1) ____
4
=· _1 0 0 x ( x + 1 )
= x3(x + 4) 100
Find each product.
1
Lesson Practice
(Ex1) _ _ 4z5q8 14qz4
b. 7y4 · 9y3
a. 14qz7 · 3q4z
Multi_ply. Simplify your answer.
2
c. 6 · (x - 6x - 27)
___ (Ex 3) 12 24m + 8mn
(Ex 2) 2x - 18
d. 8m+6m2n· 8m
Find each quotient.
(Ex 4)
e.
f.
g.
h.
(Ex 5)
8j2k7 6j3k __
15k7j4 ÷ 5kj6
x2 +7x+12 ÷(x+3)
__ x+5
x2 +5x+6 ÷ x+3 ___
x+2y2 _
2
x
What is his profit in terms of x if he sells x2 + 9x + 20 tickets?
Profits Tran makes a profit of 2 for each ticket he sells. 20x + 10x
Lesson 88 579