5-2 Dividing Polynomials
Simplify.
4
3
2
–1
22. (z – 3z + 2z – 4z + 4)(z – 1)
27. SOLUTION: 5
3
SOLUTION: 2
23. (x – 4x + 4x ) ÷ (x – 4)
SOLUTION: 4
2
25. (g – 3g – 18) ÷ (g – 2)
SOLUTION: 28. SOLUTION: 27. SOLUTION: 3
2
29. (2b – 6b + 8b) ÷ (2b + 2)
SOLUTION: Synthetic division:
eSolutions Manual - Powered by Cognero
Page 1
5-2 Dividing Polynomials
3
2
6
5
3
31. (10y + 5y + 10y – 20y – 15)(5y + 5)
29. (2b – 6b + 8b) ÷ (2b + 2)
SOLUTION: −1
SOLUTION: Synthetic division:
6
4
33. PHYSICS The voltage V is related to current I and
–1
2
30. (6z + 3z – 9z )(3z – 6)
SOLUTION: power P by the equation
. The power of a
generator is modeled by P(t) = t + 9t + 26t + 24. If
the current of the generator is I = t + 4, write an
expression that represents the voltage.
3
Synthetic division:
2
SOLUTION: Synthetic division:
6
5
3
31. (10y + 5y + 10y – 20y – 15)(5y + 5)
−1
SOLUTION: 35. BUSINESS The number of magazine subscriptions
sold can be estimated by
the amount of money the company spent on
advertising in hundreds of dollars and n is the number
of subscriptions sold.
a. Perform the division indicated by
eSolutions Manual - Powered by Cognero
33. PHYSICS The voltage V is related to current I and
,where a is
.
b. About how many subscriptions will be sold if
$1500 is spent on advertising?
SOLUTION: a.
Page 2
5-2 Dividing Polynomials
35. BUSINESS The number of magazine subscriptions
sold can be estimated by
3 2
2
37. (28c d – 21cd ) ÷ (14cd)
SOLUTION: ,where a is
the amount of money the company spent on
advertising in hundreds of dollars and n is the number
of subscriptions sold.
a. Perform the division indicated by
.
3 2
2
38. (a b – a b + 2b)(–ab)
b. About how many subscriptions will be sold if
$1500 is spent on advertising?
–1
SOLUTION: SOLUTION: a.
41. SOLUTION: b. There are 15 hundreds in 1500. Substitute a = 15.
44. CHALLENGE If a polynomial is divided by a
binomial and the remainder is 0, what does this tell
you about the relationship between the binomial and
the polynomial?
Therefore, about 2423 subscriptions will be sold.
SOLUTION: If a polynomial divided by a binomial has no
remainder, then the polynomial has two factors: the
binomial and the quotient.
Simplify.
4
4
36. (x – y ) ÷ (x – y)
SOLUTION: 3 2
2
37. (28c d – 21cd ) ÷ (14cd)
SOLUTION: eSolutions Manual - Powered by Cognero
3 2
2
–1
Page 3