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Math Problems
Algebra 1
Complete the square
How does
g
(
x
)
=
−
x
g(x)=-x
g
(
x
)
=
−
x
change over the interval from
x
=
−
6
x=-6
x
=
−
6
to
x
=
−
3
x=-3
x
=
−
3
?
\newline
g
(
x
)
g(x)
g
(
x
)
decreases by
3
3
3
\newline
g
(
x
)
g(x)
g
(
x
)
decreases by
1
1
1
\newline
g
(
x
)
g(x)
g
(
x
)
increases by
3
3
3
\newline
g
(
x
)
g(x)
g
(
x
)
decreases by
2
2
2
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Rewrite the function by completing the square.
f
(
x
)
=
x
2
−
2
x
+
1
=
0
f(x)= x^2-2x+1=0
f
(
x
)
=
x
2
−
2
x
+
1
=
0
f
(
x
)
=
(
x
+
_
)
2
+
_
f(x)=(x+\_)^2+\_
f
(
x
)
=
(
x
+
_
)
2
+
_
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Rewrite the function by completing the square.
f
(
x
)
=
x
2
−
16
x
−
100
f(x)=x^2-16x-100
f
(
x
)
=
x
2
−
16
x
−
100
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Find the values of
p
p
p
that will make the quadratic
(
5
p
−
1
)
x
2
−
4
x
+
(
2
p
−
1
)
(5p - 1)x^2 - 4x + (2p - 1)
(
5
p
−
1
)
x
2
−
4
x
+
(
2
p
−
1
)
a perfect square.
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
q
2
−
2
q
+
‾
q^2 - 2q + \underline{\hspace{2em}}
q
2
−
2
q
+
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
g
2
+
18
g
+
‾
g^2 + 18g + \underline{\hspace{2em}}
g
2
+
18
g
+
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
f
2
−
6
f
+
_
_
_
_
_
f^2 - 6f + \_\_\_\_\_
f
2
−
6
f
+
_____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
q
2
−
28
q
+
‾
q^2 - 28q + \underline{\hspace{2em}}
q
2
−
28
q
+
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
d
2
−
6
d
+
_
_
_
_
_
d^2 - 6d + \_\_\_\_\_
d
2
−
6
d
+
_____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
t
2
−
20
t
+
_
_
_
_
t^2 - 20t + \_\_\_\_
t
2
−
20
t
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
v
2
+
14
v
+
‾
v^2 + 14v + \underline{\hspace{3em}}
v
2
+
14
v
+
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
f
2
+
22
f
+
‾
f^2 + 22f + \underline{\hspace{2em}}
f
2
+
22
f
+
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
d
2
+
10
d
+
_
_
_
_
d^2 + 10d + \_\_\_\_
d
2
+
10
d
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
m
2
+
6
m
+
_
_
_
_
m^2 + 6m + \_\_\_\_
m
2
+
6
m
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
h
2
−
6
h
+
_
_
_
_
h^2 - 6h + \_\_\_\_
h
2
−
6
h
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
m
2
−
10
m
+
_
_
_
_
m^2 - 10m + \_\_\_\_
m
2
−
10
m
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
h
2
+
12
h
+
_
_
_
_
h^2 + 12h + \_\_\_\_
h
2
+
12
h
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
p
2
+
2
p
+
_
_
_
_
p^2 + 2p + \_\_\_\_
p
2
+
2
p
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
z
2
−
18
z
+
‾
z^2 - 18z + \underline{\hspace{2em}}
z
2
−
18
z
+
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
f
2
−
26
f
+
‾
f^2 - 26f + \underline{\hspace{2em}}
f
2
−
26
f
+
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
u
2
+
16
u
+
_
_
_
_
u^2 + 16u + \_\_\_\_
u
2
+
16
u
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
t
2
−
8
t
+
_
_
_
_
t^2 - 8t + \_\_\_\_
t
2
−
8
t
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
q
2
+
4
q
+
_
_
_
_
q^2 + 4q + \_\_\_\_
q
2
+
4
q
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
v
2
+
8
v
+
_
_
_
_
v^2 + 8v + \_\_\_\_
v
2
+
8
v
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
s
2
−
16
s
+
_
_
_
_
s^2 - 16s + \_\_\_\_
s
2
−
16
s
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
p
2
−
4
p
+
_
_
_
_
_
p^2 - 4p + \_\_\_\_\_
p
2
−
4
p
+
_____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
y
2
−
14
y
+
_
_
_
_
_
y^2 − 14y + \_\_\_\_\_
y
2
−14
y
+
_____
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What is the missing constant term in the perfect square that starts with
x
2
+
14
x
x^2+14x
x
2
+
14
x
?
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What is the value of
k
k
k
that makes
49
x
4
−
k
x
2
y
2
+
36
y
4
49 x^{4}-k x^{2} y^{2}+36 y^{4}
49
x
4
−
k
x
2
y
2
+
36
y
4
a perfect square trinomial?
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Select the correct answer.
\newline
What is the degree of the polyromial tunction
(
x
)
=
2
x
2
+
7
x
3
−
4
x
−
12
(x)=2 x^{2}+7 x^{3}-4 x-12
(
x
)
=
2
x
2
+
7
x
3
−
4
x
−
12
.
\newline
4
4
4
.
3
3
3
\newline
6
6
6
.
5
5
5
\newline
C.
2
2
2
\newline
D
13
13
13
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
k
2
−
20
k
+
_
_
_
_
_
k^2 - 20k + \_\_\_\_\_
k
2
−
20
k
+
_____
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