AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Factor out the greatest common factor. If the greatest common factor is , just retype the polynomial.
Full solution
Q. Factor out the greatest common factor. If the greatest common factor is , just retype the polynomial.
- Determine common highest power: Now, we will determine the highest power of that is common to both terms. The first term has squared (), and the second term has to the first power (). The highest power of that is common to both terms is to the first power (). Therefore, the GCF of and is .
- Divide terms by GCF: Next, we will divide each term by the GCF to factor it out. For the first term, divided by gives us . For the second term, divided by gives us . So, the polynomial factored by the GCF is .
- Write polynomial as product: Finally, we write the original polynomial as the product of the GCF and the factored polynomial. The factored form of the polynomial is .
