Consider the polynomial function with integer coefficients f ( x ) = a n x n + a n − 1 x n − 1 + ⋯ + a 1 x + a 0 , a n ≠ 0 The Rational Zero Theorem states that if p q is a rational zero of f (where p q is reduced to lowest terms), then p is a factor of ____ and q is a factor of ____.
Consider the polynomial function with integer coefficients f ( x ) = a n x n + a n − 1 x n − 1 + ⋯ + a 1 x + a 0 , a n ≠ 0 The Rational Zero Theorem states that if p q is a rational zero of f (where p q is reduced to lowest terms), then p is a factor of ____ and q is a factor of ____.
Solution Summary: The author explains the Rational Zero Theorem on page 396 in section 3.4.
Consider the polynomial function with integer coefficients
f
(
x
)
=
a
n
x
n
+
a
n
−
1
x
n
−
1
+
⋯
+
a
1
x
+
a
0
,
a
n
≠
0
The Rational Zero Theorem states that if
p
q
is a rational zero of f (where
p
q
is reduced to lowest terms), then p is a factor of ____ and q is a factor of ____.
Jamal wants to save $48,000 for a down payment on a home. How much will he need to invest in an
account with 11.8% APR, compounding daily, in order to reach his goal in 10 years? Round to the
nearest dollar.
r
nt
Use the compound interest formula, A (t) = P(1 + 1)".
An account is opened with an intial deposit of $7,500 and earns 3.8% interest compounded semi-
annually. Round all answers to the nearest dollar.
a. What will the account be worth in 10 years? $
b. What if the interest were compounding monthly? $
c. What if the interest were compounded daily (assume 365 days in a year)? $
Kyoko has $10,000 that she wants to invest. Her bank has several accounts to choose from. Her goal is
to have $15,000 by the time she finishes graduate school in 7 years. To the nearest hundredth of a
percent, what should her minimum annual interest rate be in order to reach her goal assuming they
compound daily? (Hint: solve the compound interest formula for the intrerest rate. Also, assume there
are 365 days in a year)
%
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