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 ____.
1.
vector projection.
Assume, ER1001 and you know the following:
||||=4, 7=-0.5.7.
For each of the following, explicitly compute the value.
འབ
(a)
(b)
(c)
(d)
answer.
Explicitly compute ||y7||. Explain your answer.
Explicitly compute the cosine similarity of and y. Explain your
Explicitly compute (x, y). Explain your answer.
Find the projection of onto y and the projection of onto .
2.
Answer the following questions using vectors u and v.
--0-0-0
=
find the the cosine similarity and the angle between u and v.
འརྒྱ
(a)
(b)
find the scalar projection of u onto v.
(c)
find the projection of u onto v.
(d)
(e)
(f)
find the scalar projection of onto u.
find the projection of u onto u.
find the projection of u onto and the projection of onto . (Hint:
find the inner product and verify the orthogonality)
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