Emma factored  Describe and correct the error Emma made in factoring the polynomial.

The correct answer is: The error that Emma had made was writing as . This is not how law of exponents work. The correct for is .

ANSWER:
Hint:
Let be real values and be integers. Thus, we have:


We are asked to describe and correct the error that Emma has made in factoring the polynomial.
Step 1 of 2:
The given expression is   . It can be written as  . It is of the form  .
Substitute the values in the expression and factorize it,


Step 2 of 2:
The error that Emma had made was writing  as  . This is not how law of exponents work. The correct for is . .
Note:
It is important to recall the law of exponents while to expand polynomial expressions.

A polynomial is factored when expressed as the product of more than one factor; this is somewhat the opposite of multiplying. The following properties or identities, along with other methods, are typically used to factor polynomials.
¶A number is quickly factorized into smaller digits or factors of the number using the factorization formula. Finding the zeros of the polynomial expression or the values of the variables in the given expression are both made possible by factoring polynomials.
¶There are many ways to factorize a polynomial of the form axn + bxn - 1 + cxn - 2+ ........., px + q, including grouping, using identities, and substituting.