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 ____.
20
2. Let A =
= [
-2 0
1
3
]
and B =
2
3
-1 2
For each of the following, calculate the product or indicate why it is undefined:
(a) AB
(b) BA
Answer the number questions with the following answers
+/- 2 sqrt(2)
+/- i sqrt(6)
(-3 +/-3 i sqrt(3))/4
+/-1
+/- sqrt(6)
+/- 2/3 sqrt(3)
4
-3 +/- 3 i sqrt(3)
1
Matching 10 points
Factor and Solve
1)x3-216 0, x = {6,[B]}
2) 16x3 = 54 x-[3/2,[D]]
3)x4x2-42 0 x= [ +/-isqrt(7), [F] }
4)x+3-13-9x x=[+/-1.[H]]
5)x38x2+16x=0, x = {0,[K}}
6) 2x6-10x-48x2-0 x-[0, [M], +/-isqrt(3))
7) 3x+2x²-8 x = {+/-i sqrt(2), {Q}}
8) 5x³-3x²+32x=2x+18 x = {3/5, [S]}
[B]
[D]
[F]
[H]
[K]
[M]
[Q]
+/-2 sqrt(2)
+/- i sqrt(6)
(-3+/-3 i sqrt(3))/4
+/- 1
+/-sqrt(6)
+/- 2/3 sqrt(3)
4
-3 +/- 3 i sqrt(3)
[S]
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