Q. Factor the expression completely.−27x4+6x3Answer:
Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression −27x4+6x3.The GCF of −27 and 6 is 3. Both terms also have a common factor of x3.GCF = 3x3
Factor out GCF: Factor out the GCF from each term in the expression.−27x4+6x3=3x3(−9x+2)
Check for further factoring: Check if the remaining expression inside the parentheses can be factored further.The expression inside the parentheses is −9x+2, which cannot be factored further since it is a linear expression with no common factors.
Write final factored form: Write down the final factored form of the expression.The completely factored form of the expression is 3x3(−9x+2).