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Let’s check out your problem:
Find the product. Simplify your answer.
\newline
(
q
−
4
)
(
q
+
3
)
(q - 4)(q + 3)
(
q
−
4
)
(
q
+
3
)
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Math Problems
Algebra 1
Multiply two binomials
Full solution
Q.
Find the product. Simplify your answer.
\newline
(
q
−
4
)
(
q
+
3
)
(q - 4)(q + 3)
(
q
−
4
)
(
q
+
3
)
Perform Multiplication:
Now, we will perform the multiplication for each term.
\newline
q
(
q
)
=
q
2
q(q) = q^2
q
(
q
)
=
q
2
\newline
q
(
3
)
=
3
q
q(3) = 3q
q
(
3
)
=
3
q
\newline
−
4
(
q
)
=
−
4
q
-4(q) = -4q
−
4
(
q
)
=
−
4
q
\newline
−
4
(
3
)
=
−
12
-4(3) = -12
−
4
(
3
)
=
−
12
\newline
So,
(
q
−
4
)
(
q
+
3
)
=
q
2
+
3
q
−
4
q
−
12
(q - 4)(q + 3) = q^2 + 3q - 4q - 12
(
q
−
4
)
(
q
+
3
)
=
q
2
+
3
q
−
4
q
−
12
Combine Like Terms:
Next, we combine like terms, which are the terms with
q
q
q
.
3
q
−
4
q
=
−
1
q
3q - 4q = -1q
3
q
−
4
q
=
−
1
q
So,
q
2
+
3
q
−
4
q
−
12
q^2 + 3q - 4q - 12
q
2
+
3
q
−
4
q
−
12
simplifies to
q
2
−
q
−
12
q^2 - q - 12
q
2
−
q
−
12
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Find the degree of this polynomial.
\newline
`5b^{10} + 3b^3`
\newline
_______
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\newline
(
9
a
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)
−
(
2
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(
9
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\newline
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Question
Find the product. Simplify your answer.
\newline
(
v
−
3
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(
4
v
+
1
)
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(
v
−
3
)
(
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\newline
______
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Question
Find the square. Simplify your answer.
\newline
(
3
y
+
2
)
2
(3y + 2)^2
(
3
y
+
2
)
2
\newline
______
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Question
Divide. If there is a remainder, include it as a simplified fraction.
\newline
(
24
t
2
+
36
t
)
÷
6
t
(24t^2 + 36t) \div 6t
(
24
t
2
+
36
t
)
÷
6
t
\newline
______
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Question
Is the function
q
(
x
)
=
x
6
−
9
q(x) = x^6 - 9
q
(
x
)
=
x
6
−
9
even, odd, or neither?
\newline
Choices:
\newline
[[even][odd][neither]]
\text{[[even][odd][neither]]}
[[even][odd][neither]]
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Posted 1 year ago
Question
Find the product. Simplify your answer.
\newline
−
3
q
2
(
−
3
q
2
+
q
)
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−
3
q
2
(
−
3
q
2
+
q
)
\newline
______
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Question
Find the product. Simplify your answer.
\newline
(
r
+
3
)
(
4
r
+
2
)
(r + 3)(4r + 2)
(
r
+
3
)
(
4
r
+
2
)
\newline
______
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Posted 1 year ago
Question
Find the roots of the factored polynomial.
\newline
(
x
+
7
)
(
x
+
4
)
(x + 7)(x + 4)
(
x
+
7
)
(
x
+
4
)
\newline
Write your answer as a list of values separated by commas.
\newline
x
=
x =
x
=
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Posted 1 year ago
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