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Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.

10h8+10h5

1 answer

To factor out the greatest common factor (GCF) from the polynomial \( 10h^8 + 10h^5 \), we can first identify the GCF of the two terms.

  1. The GCF of the coefficients \( 10 \) and \( 10 \) is \( 10 \).
  2. The GCF of \( h^8 \) and \( h^5 \) is \( h^5 \) (we take the lower power of \( h \)).

Now we can factor out the GCF, which is \( 10h^5 \):

\[ 10h^8 + 10h^5 = 10h^5(h^3 + 1) \]

Therefore, the factored form is:

\[ 10h^5(h^3 + 1) \]