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Let’s check out your problem:
Use Pascal's Triangle to complete the expansion of
(
p
+
q
)
4
(p+q)^4
(
p
+
q
)
4
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Math Problems
Precalculus
Pascal's triangle and the Binomial Theorem
Full solution
Q.
Use Pascal's Triangle to complete the expansion of
(
p
+
q
)
4
(p+q)^4
(
p
+
q
)
4
Identify Row Exponent
4
4
4
:
Identify the row in Pascal's Triangle that corresponds to the exponent
4
4
4
.
Write Expansion Terms:
Write each term of the expansion using the coefficients from Pascal's Triangle.
Combine for Polynomial:
Combine the terms to form the expanded polynomial.
More problems from Pascal's triangle and the Binomial Theorem
Question
Find the solutions of the quadratic equation
2
x
2
−
8
x
−
9
=
0
2 x^{2}-8 x-9=0
2
x
2
−
8
x
−
9
=
0
.
\newline
Choose
1
1
1
answer:
\newline
(A)
2
±
34
2
i
2 \pm \frac{\sqrt{34}}{2} i
2
±
2
34
i
\newline
(B)
−
2
±
34
2
i
-2 \pm \frac{\sqrt{34}}{2} i
−
2
±
2
34
i
\newline
(C)
2
±
34
2
2 \pm \frac{\sqrt{34}}{2}
2
±
2
34
\newline
(D)
1
±
34
4
1 \pm \frac{\sqrt{34}}{4}
1
±
4
34
Get tutor help
Posted 10 months ago
Question
Solve for
x
x
x
.
\newline
Enter the solutions from least to greatest.
\newline
(
−
5
x
+
4
)
(
x
−
3
)
=
0
lesser
x
=
□
greater
x
=
□
\begin{array}{l} (-5 x+4)(x-3)=0 \\ \text { lesser } x=\square \\ \text { greater } x=\square \end{array}
(
−
5
x
+
4
)
(
x
−
3
)
=
0
lesser
x
=
□
greater
x
=
□
Get tutor help
Posted 10 months ago
Question
Solve for
x
x
x
.
\newline
Enter the solutions from least to greatest.
\newline
(
2
x
+
4
)
(
3
x
−
2
)
=
0
(2 x+4)(3 x-2)=0
(
2
x
+
4
)
(
3
x
−
2
)
=
0
\newline
lesser
x
=
x=
x
=
\newline
greater
x
=
x=
x
=
Get tutor help
Posted 10 months ago
Question
Solve for
x
x
x
.
\newline
Enter the solutions from least to greatest.
\newline
(
3
x
−
6
)
(
−
x
+
3
)
=
0
lesser
x
=
□
greater
x
=
□
\begin{array}{l} (3 x-6)(-x+3)=0 \\ \text { lesser } x=\square \\ \text { greater } x=\square \end{array}
(
3
x
−
6
)
(
−
x
+
3
)
=
0
lesser
x
=
□
greater
x
=
□
Get tutor help
Posted 10 months ago
Question
Solve for
x
x
x
.
\newline
Enter the solutions from least to greatest.
\newline
(
x
+
6
)
(
−
x
+
1
)
=
0
(x+6)(-x+1)=0
(
x
+
6
)
(
−
x
+
1
)
=
0
\newline
lesser
x
=
x=
x
=
\newline
greater
x
=
x=
x
=
Get tutor help
Posted 10 months ago
Question
Is the following function even, odd, or neither?
\newline
f
(
x
)
=
3
x
2
+
2
f(x)=\frac{3}{x^{2}+2}
f
(
x
)
=
x
2
+
2
3
\newline
Choose
1
1
1
answer:
\newline
(A) Even
\newline
(B) Odd
\newline
(C) Neither
Get tutor help
Posted 10 months ago
Question
Is the following function even, odd, or neither?
\newline
f
(
x
)
=
1
4
−
x
2
f(x)=\frac{1}{4-x^{2}}
f
(
x
)
=
4
−
x
2
1
\newline
Choose
1
1
1
answer:
\newline
(A) Even
\newline
(B) Odd
\newline
(C) Neither
Get tutor help
Posted 10 months ago
Question
Is the following function even, odd, or neither?
\newline
f
(
x
)
=
2
∣
x
∣
−
5
f(x)=2|x|-5
f
(
x
)
=
2∣
x
∣
−
5
\newline
Choose
1
1
1
answer:
\newline
(A) Even
\newline
(B) Odd
\newline
(C) Neither
Get tutor help
Posted 10 months ago
Question
Is the following function even, odd, or neither?
\newline
f
(
x
)
=
x
x
2
+
1
f(x)=\frac{x}{x^{2}+1}
f
(
x
)
=
x
2
+
1
x
\newline
Choose
1
1
1
answer:
\newline
(A) Even
\newline
(B) Odd
\newline
(C) Neither
Get tutor help
Posted 10 months ago
Question
Is the following function even, odd, or neither?
\newline
f
(
x
)
=
x
3
−
4
x
f(x)=x^{3}-4 x
f
(
x
)
=
x
3
−
4
x
\newline
Choose
1
1
1
answer:
\newline
(A) Even
\newline
(B) Odd
\newline
(C) Neither
Get tutor help
Posted 10 months ago
Related topics
Algebra - Order of Operations
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`X` and `Y` Axes
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Common Multiple
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