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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.
10c^3–4c^2
10c^3–4c^2
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Answered by
GPT-4o mini
To factor out the greatest common factor from the polynomial \( 10c^3 - 4c^2 \), we need to identify the common factors in each term.
The coefficients are 10 and -4. The greatest common factor (GCF) of 10 and 4 is 2.
Next, we look at the variable parts. The terms are \( c^3 \) and \( c^2 \). The greatest common factor of \( c^3 \) and \( c^2 \) is \( c^2 \).
Now, we can factor out the GCF, which is \( 2c^2 \):
\[
10c^3 - 4c^2 = 2c^2(5c - 2)
\]
Thus, the factored form of the polynomial is:
\[
2c^2(5c - 2)
\]
The coefficients are 10 and -4. The greatest common factor (GCF) of 10 and 4 is 2.
Next, we look at the variable parts. The terms are \( c^3 \) and \( c^2 \). The greatest common factor of \( c^3 \) and \( c^2 \) is \( c^2 \).
Now, we can factor out the GCF, which is \( 2c^2 \):
\[
10c^3 - 4c^2 = 2c^2(5c - 2)
\]
Thus, the factored form of the polynomial is:
\[
2c^2(5c - 2)
\]
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