Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Find the product. Simplify your answer.
\newline
−
t
2
(
2
t
2
+
5
)
-t^2(2t^2 + 5)
−
t
2
(
2
t
2
+
5
)
View step-by-step help
Home
Math Problems
Algebra 1
Multiply a polynomial by a monomial
Full solution
Q.
Find the product. Simplify your answer.
\newline
−
t
2
(
2
t
2
+
5
)
-t^2(2t^2 + 5)
−
t
2
(
2
t
2
+
5
)
Distribute
−
t
2
-t^2
−
t
2
:
Distribute
−
t
2
-t^2
−
t
2
to both terms inside the parentheses.
\newline
−
t
2
(
2
t
2
+
5
)
=
−
t
2
(
2
t
2
)
+
−
t
2
(
5
)
-t^2(2t^2 + 5) = -t^2(2t^2) + -t^2(5)
−
t
2
(
2
t
2
+
5
)
=
−
t
2
(
2
t
2
)
+
−
t
2
(
5
)
Simplify
−
t
2
(
2
t
2
)
:
<
/
b
>
S
i
m
p
l
i
f
y
$
−
t
2
(
2
t
2
)
-t^2(2t^2):</b> Simplify \$-t^2(2t^2)
−
t
2
(
2
t
2
)
:<
/
b
>
S
im
pl
i
f
y
$
−
t
2
(
2
t
2
)
.
−
t
2
(
2
t
2
)
=
−
2
t
4
-t^2(2t^2) = -2t^4
−
t
2
(
2
t
2
)
=
−
2
t
4
Simplify
−
t
2
(
5
)
:
<
/
b
>
S
i
m
p
l
i
f
y
$
−
t
2
(
5
)
-t^2(5):</b> Simplify \$-t^2(5)
−
t
2
(
5
)
:<
/
b
>
S
im
pl
i
f
y
$
−
t
2
(
5
)
.
\newline
−
t
2
(
5
)
=
−
5
t
2
-t^2(5) = -5t^2
−
t
2
(
5
)
=
−
5
t
2
Combine simplified terms:
Combine the simplified terms to get the final answer.
−
t
2
(
2
t
2
+
5
)
=
−
2
t
4
−
5
t
2
-t^2(2t^2 + 5) = -2t^4 - 5t^2
−
t
2
(
2
t
2
+
5
)
=
−
2
t
4
−
5
t
2
More problems from Multiply a polynomial by a monomial
Question
Find the degree of this polynomial.
\newline
`5b^{10} + 3b^3`
\newline
_______
Get tutor help
Posted 5 months ago
Question
Subtract.
\newline
(
9
a
+
5
)
−
(
2
a
+
4
)
(9a + 5) - (2a + 4)
(
9
a
+
5
)
−
(
2
a
+
4
)
\newline
____
Get tutor help
Posted 5 months ago
Question
Find the product. Simplify your answer.
\newline
−
3
v
2
(
v
2
−
9
)
-3v^2(v^2 - 9)
−
3
v
2
(
v
2
−
9
)
\newline
________
Get tutor help
Posted 5 months ago
Question
Find the product. Simplify your answer.
\newline
(
v
−
3
)
(
4
v
+
1
)
(v - 3)(4v + 1)
(
v
−
3
)
(
4
v
+
1
)
\newline
______
Get tutor help
Posted 5 months ago
Question
Find the square. Simplify your answer.
\newline
(
3
y
+
2
)
2
(3y + 2)^2
(
3
y
+
2
)
2
\newline
______
Get tutor help
Posted 5 months ago
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
______
Get tutor help
Posted 5 months ago
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]]
Get tutor help
Posted 9 months ago
Question
Find the product. Simplify your answer.
\newline
−
3
q
2
(
−
3
q
2
+
q
)
-3q^2(-3q^2 + q)
−
3
q
2
(
−
3
q
2
+
q
)
\newline
______
Get tutor help
Posted 9 months ago
Question
Find the product. Simplify your answer.
\newline
(
r
+
3
)
(
4
r
+
2
)
(r + 3)(4r + 2)
(
r
+
3
)
(
4
r
+
2
)
\newline
______
Get tutor help
Posted 9 months 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
=
____
Get tutor help
Posted 9 months ago
Related topics
Algebra - Order of Operations
Algebra - Distributive Property
`X` and `Y` Axes
Geometry - Scalene Triangle
Common Multiple
Geometry - Quadrant