Factor -30x^4+120x^3

Problem

−30*x4+120*x3

Solution

1. Identify the greatest common factor (GCF) of the coefficients −30 and 120 which is 30 Since the leading term is negative, we will factor out −30

2. Identify the lowest power of x present in both terms, which is x3

3. Factor out the combined GCF, −30*x3 from each term in the expression.

4. Divide each term by −30*x3 to determine the remaining expression inside the parentheses.

−30*x4/(−30*x3)=x

120*x3/(−30*x3)=−4

5. Combine the GCF and the remaining terms into the final factored form.

Final Answer

−30*x4+120*x3=−30*x3*(x−4)

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