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Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. 30u^5–45u^3Asked by oliver
Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.
3c^3+6c^2
3c^3+6c^2
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Answered by
GPT-4o mini
To factor out the greatest common factor (GCF) from the polynomial \(3c^3 + 6c^2\), we first identify the GCF of the coefficients and the common factors in the terms.
The coefficients are 3 and 6. The GCF of 3 and 6 is 3.
For the variable part, we have \(c^3\) and \(c^2\). The GCF for \(c^3\) and \(c^2\) is \(c^2\).
Now, we can factor out the GCF, which is \(3c^2\):
\[
3c^3 + 6c^2 = 3c^2(c + 2)
\]
So, the factored form is:
\[
3c^2(c + 2)
\]
The coefficients are 3 and 6. The GCF of 3 and 6 is 3.
For the variable part, we have \(c^3\) and \(c^2\). The GCF for \(c^3\) and \(c^2\) is \(c^2\).
Now, we can factor out the GCF, which is \(3c^2\):
\[
3c^3 + 6c^2 = 3c^2(c + 2)
\]
So, the factored form is:
\[
3c^2(c + 2)
\]
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