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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.
16d^2–36d
16d^2–36d
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Answered by
GPT-4o mini
To factor out the greatest common factor (GCF) from the polynomial \(16d^2 - 36d\), we first identify the GCF of the coefficients and the variable terms.
The coefficients are 16 and 36. The GCF of 16 and 36 is 4.
The variable terms are \(d^2\) and \(d\). The GCF of \(d^2\) and \(d\) is \(d\).
Thus, the GCF of the entire expression \(16d^2 - 36d\) is \(4d\).
Now we factor that out:
\[
16d^2 - 36d = 4d(4d - 9)
\]
So the factored form of the polynomial is:
\[
4d(4d - 9)
\]
The coefficients are 16 and 36. The GCF of 16 and 36 is 4.
The variable terms are \(d^2\) and \(d\). The GCF of \(d^2\) and \(d\) is \(d\).
Thus, the GCF of the entire expression \(16d^2 - 36d\) is \(4d\).
Now we factor that out:
\[
16d^2 - 36d = 4d(4d - 9)
\]
So the factored form of the polynomial is:
\[
4d(4d - 9)
\]
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