Math Problem Statement
Factor by grouping.
x cubedx3minus−x squaredx2plus+44xminus−4
Solution
We need to factor the polynomial by grouping.
Step 1: Group the terms
Group the terms in pairs to factor them more easily:
Step 2: Factor out the greatest common factor (GCF) from each group
Factor out the GCF from each group:
Step 3: Factor out the common binomial
Now, we can see that both terms have a common factor of . Factor this out:
Conclusion
The polynomial factors as .
Would you like any further explanation, or do you have any other questions?
Related Questions:
- How would you solve using the factors?
- What are the roots of the equation ?
- Can be factored further over the real numbers?
- What does factoring by grouping mean, and when is it used?
- How do you check if your factorization is correct?
Tip: When factoring by grouping, always look for common factors in pairs of terms. This method is particularly useful when dealing with four-term polynomials.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Polynomial factoring
Grouping terms
Greatest common factor (GCF)
Binomial factorization
Formulas
-
Theorems
-
Suitable Grade Level
Grades 9-12