Question
Emma factored 
Describe and correct the error Emma made in factoring the polynomial.
Hint:
Let a & b be real values and n & m be integers. Thus, we have:
We are asked to describe and correct the error that Emma has made in factoring the polynomial
The correct answer is: (25 g8)2 .
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 
. This is not how law of exponents work. The correct for is 
.
Step 2 of 2:
The error that Emma had made was writing
. This is not how law of exponents work. The correct for is .It is important to recall the law of exponents while to expand polynomial expressions.
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Using Pascal's Triangle, where n can be any positive integer as x and y are real numbers, one can determine the binomial coefficients of the terms of the binomial formula (x + y)n. Pascal Triangle is a type of number pattern that appears as a triangular arrangement and is represented by triangles. It starts with '1' at the top and continues with '1' on the triangle's two sides. Each new number in the Pascal triangle has equal values to the sum of the two integers above and below. The probability conditions in which this triangle is utilized vary. Every row represents this table's coefficient of expansion of (x + y)n. Zero row n = 0, (x + y)0
A student says that the expansion of the expression 
has seven terms. Describe and correct
the error the student may have made ?
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the error the student may have made ?
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Emma factored Describe and correct the error Emma made in factoring the polynomial.
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.
Emma factored Describe and correct the error Emma made in factoring the polynomial.
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.
