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Math Problems
Precalculus
Evaluate polynomials using synthetic division
Use synthetic division to find the quotient and remainder when
\newline
−
x
+
4
x
2
−
8
-x+4x^{2}-8
−
x
+
4
x
2
−
8
is divided by
\newline
x
−
2
x-2
x
−
2
by completing the parts below.
\newline
(a) Complete this synthetic division table.
\newline
(b) Write your answer in the following form: Quotient
\newline
+
(
＂ Remainder ＂
)
/
(
x
−
2
)
+\left(\text{＂ Remainder ＂}\right)/(x-2)
+
(
＂
Remainder
＂
)
/
(
x
−
2
)
.
\newline
(
−
x
3
+
4
x
2
−
8
)
/
(
x
−
2
)
=
□
+
(
□
)
/
(
x
−
2
)
(-x^{3}+4x^{2}-8)/(x-2)=\square+(\square)/(x-2)
(
−
x
3
+
4
x
2
−
8
)
/
(
x
−
2
)
=
□
+
(
□
)
/
(
x
−
2
)
\newline
Continue
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If
f
(
y
)
=
8
y
2
+
39
y
−
10
f(y) = 8y^2 + 39y - 10
f
(
y
)
=
8
y
2
+
39
y
−
10
, use synthetic division to find
f
(
−
4
)
f(-4)
f
(
−
4
)
.
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If
p
(
w
)
=
9
w
2
+
22
w
−
30
p(w) = 9w^2 + 22w - 30
p
(
w
)
=
9
w
2
+
22
w
−
30
, use synthetic division to find
p
(
−
2
)
p(-2)
p
(
−
2
)
.
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If
g
(
v
)
=
4
v
2
+
18
v
+
22
g(v) = 4v^2 + 18v + 22
g
(
v
)
=
4
v
2
+
18
v
+
22
, use synthetic division to find
g
(
−
5
)
g(-5)
g
(
−
5
)
.
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If
f
(
w
)
=
38
w
2
−
21
w
+
33
f(w) = 38w^2 - 21w + 33
f
(
w
)
=
38
w
2
−
21
w
+
33
, use synthetic division to find
f
(
1
)
f(1)
f
(
1
)
.
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If
g
(
z
)
=
z
2
−
7
z
−
24
g(z) = z^2 - 7z - 24
g
(
z
)
=
z
2
−
7
z
−
24
, use synthetic division to find
g
(
4
)
g(4)
g
(
4
)
.
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If
g
(
t
)
=
8
t
2
+
15
t
−
33
g(t) = 8t^2 + 15t - 33
g
(
t
)
=
8
t
2
+
15
t
−
33
, use synthetic division to find
g
(
−
3
)
g(-3)
g
(
−
3
)
.
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If
g
(
y
)
=
7
y
2
−
15
y
−
14
g(y) = 7y^2 - 15y - 14
g
(
y
)
=
7
y
2
−
15
y
−
14
, use synthetic division to find
g
(
2
)
g(2)
g
(
2
)
.
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If
f
(
v
)
=
4
v
2
−
17
v
+
28
f(v) = 4v^2 - 17v + 28
f
(
v
)
=
4
v
2
−
17
v
+
28
, use synthetic division to find
f
(
5
)
f(5)
f
(
5
)
.
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If
h
(
u
)
=
11
u
2
−
38
u
−
23
h(u) = 11u^2 - 38u - 23
h
(
u
)
=
11
u
2
−
38
u
−
23
, use synthetic division to find
h
(
4
)
h(4)
h
(
4
)
.
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If
p
(
x
)
=
4
x
2
+
15
x
−
19
p(x) = 4x^2 + 15x - 19
p
(
x
)
=
4
x
2
+
15
x
−
19
, use synthetic division to find
p
(
−
3
)
p(-3)
p
(
−
3
)
.
Get tutor help
If
f
(
w
)
=
5
w
2
−
8
w
−
40
f(w) = 5w^2 - 8w - 40
f
(
w
)
=
5
w
2
−
8
w
−
40
, use synthetic division to find
f
(
3
)
f(3)
f
(
3
)
.
Get tutor help
If
f
(
u
)
=
10
u
2
+
14
u
−
32
f(u) = 10u^2 + 14u - 32
f
(
u
)
=
10
u
2
+
14
u
−
32
, use synthetic division to find
f
(
−
2
)
f(-2)
f
(
−
2
)
.
Get tutor help
If
p
(
v
)
=
6
v
2
−
22
v
−
39
p(v) = 6v^2 - 22v - 39
p
(
v
)
=
6
v
2
−
22
v
−
39
, use synthetic division to find
p
(
3
)
p(3)
p
(
3
)
.
Get tutor help
If
h
(
t
)
=
11
t
2
−
26
t
−
3
h(t) = 11t^2 - 26t - 3
h
(
t
)
=
11
t
2
−
26
t
−
3
, use synthetic division to find
h
(
3
)
h(3)
h
(
3
)
.
Get tutor help
If
g
(
v
)
=
9
v
2
−
20
v
+
9
g(v) = 9v^2 - 20v + 9
g
(
v
)
=
9
v
2
−
20
v
+
9
, use synthetic division to find
g
(
1
)
g(1)
g
(
1
)
.
Get tutor help
If
h
(
u
)
=
7
u
2
+
21
u
+
1
h(u) = 7u^2 + 21u + 1
h
(
u
)
=
7
u
2
+
21
u
+
1
, use synthetic division to find
h
(
−
4
)
h(-4)
h
(
−
4
)
.
Get tutor help
If
g
(
v
)
=
14
v
2
+
33
v
+
32
g(v) = 14v^2 + 33v + 32
g
(
v
)
=
14
v
2
+
33
v
+
32
, use synthetic division to find
g
(
−
3
)
g(-3)
g
(
−
3
)
.
Get tutor help
If
h
(
t
)
=
22
t
2
−
39
t
−
11
h(t) = 22t^2 - 39t - 11
h
(
t
)
=
22
t
2
−
39
t
−
11
, use synthetic division to find
h
(
2
)
h(2)
h
(
2
)
.
Get tutor help
If
h
(
w
)
=
19
w
2
−
38
w
−
2
h(w) = 19w^2 - 38w - 2
h
(
w
)
=
19
w
2
−
38
w
−
2
, use synthetic division to find
h
(
1
)
h(1)
h
(
1
)
.
Get tutor help
If
g
(
u
)
=
22
u
2
+
33
u
+
27
g(u) = 22u^2 + 33u + 27
g
(
u
)
=
22
u
2
+
33
u
+
27
, use synthetic division to find
g
(
−
1
)
g(-1)
g
(
−
1
)
.
Get tutor help
If
f
(
x
)
=
ln
x
f(x)=\ln x
f
(
x
)
=
ln
x
, then
lim
x
→
3
f
(
x
)
=
f
(
3
)
x
−
3
\lim _{x \rightarrow 3} \frac{f(x)=f(3)}{x-3}
lim
x
→
3
x
−
3
f
(
x
)
=
f
(
3
)
is
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