Q. Factor the expression completely.−72x5−32Answer:
Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression −72x5−32.The GCF of the numerical coefficients 72 and 32 is 8, and since there is no x term in −32, the GCF is just −8.
Factor out GCF: Factor out the GCF from the expression.−72x5−32=−8(9x5+4)
Look for common factors: Look for any common factors or identities in the expression inside the parentheses.The expression 9x5+4 does not have a common factor, but it is a sum of two terms where one is a perfect fifth power and the other is a perfect square. However, there is no simple factorization for a sum of a fifth power and a square, so the expression inside the parentheses cannot be factored further.