Question
Which binomials have a GCF of 2a3? SELECT
TWO (circle your answers) (16 points)
a)
b
d e)
f)
g)
a* + 2a3
4at + 8a3
10a* + 8a3
10a2 + 4a3
8a° - 6а3
6át + 18a3
2a3 - 2a2
TWO (circle your answers) (16 points)
a)
b
d e)
f)
g)
a* + 2a3
4at + 8a3
10a* + 8a3
10a2 + 4a3
8a° - 6а3
6át + 18a3
2a3 - 2a2
Answers
GPT-4o mini
To determine which binomials have a greatest common factor (GCF) of \(2a^3\), we need to factor out \(2a^3\) from each given binomial and see if the remaining terms are integers.
Let's analyze each option:
a) \(b\)
This option is missing. Please provide the expression.
b) \(a^4 + 2a^3\)
GCF is \(a^3\), not \(2a^3\).
c) \(4a^1 + 8a^3\)
GCF is \(4a^1\), not \(2a^3\).
d) \(10a^2 + 8a^3\)
GCF is \(2a^2\), not \(2a^3\).
e) \(10a^2 + 4a^3\)
GCF is \(2a^2\), not \(2a^3\).
f) \(8a^0 - 6a^3\)
GCF is \(2\), not \(2a^3\).
g) \(6a^1 + 18a^3\)
GCF is \(6a^1\), not \(2a^3\).
h) \(2a^3 - 2a^2\)
The GCF is \(2a^2\), not \(2a^3\).
None of these options seem to contain binomials with a GCF of \(2a^3\).
Including the missing options or re-evaluating provided options would help identify the correct binomials. Please verify the expressions.
Let's analyze each option:
a) \(b\)
This option is missing. Please provide the expression.
b) \(a^4 + 2a^3\)
GCF is \(a^3\), not \(2a^3\).
c) \(4a^1 + 8a^3\)
GCF is \(4a^1\), not \(2a^3\).
d) \(10a^2 + 8a^3\)
GCF is \(2a^2\), not \(2a^3\).
e) \(10a^2 + 4a^3\)
GCF is \(2a^2\), not \(2a^3\).
f) \(8a^0 - 6a^3\)
GCF is \(2\), not \(2a^3\).
g) \(6a^1 + 18a^3\)
GCF is \(6a^1\), not \(2a^3\).
h) \(2a^3 - 2a^2\)
The GCF is \(2a^2\), not \(2a^3\).
None of these options seem to contain binomials with a GCF of \(2a^3\).
Including the missing options or re-evaluating provided options would help identify the correct binomials. Please verify the expressions.