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.
Related Questions to study
Expand using binomial theorem.
The answer can be found using the Pascal’s triangle. For , we would consider the (n+1)th row as the coefficients.
Expand using binomial theorem.
The answer can be found using the Pascal’s triangle. For , we would consider the (n+1)th row as the coefficients.
Expand using Pascal’s triangle.
The answer can be found using the binomial theorem
Expand using Pascal’s triangle.
The answer can be found using the binomial theorem
Use binomial theorem to expand expression (x + y)7 .
The answer can be found using the Pascal’s triangle. For an expression (x + y)n , we would have n + 1 term.
Use binomial theorem to expand expression (x + y)7 .
The answer can be found using the Pascal’s triangle. For an expression (x + y)n , we would have n + 1 term.
Use binomial theorem to expand expression (d - 1)4
The answer can be found using the Pascal’s triangle. For an expression , we would have n+ 1 term.
Use binomial theorem to expand expression (d - 1)4
The answer can be found using the Pascal’s triangle. For an expression , we would have n+ 1 term.
Use Pascal triangle to expand the expression (a - b)6 .
The answer can be found using the binomial expansion of
Use Pascal triangle to expand the expression (a - b)6 .
The answer can be found using the binomial expansion of
Use Pascal’s triangle to expand the expression (x + 1)5
The answer can be found using the binomial expansion of
Use Pascal’s triangle to expand the expression (x + 1)5
The answer can be found using the binomial expansion of
How many terms will there be in the expansion of the expression . Explain how you know?
How many terms will there be in the expansion of the expression . Explain how you know?
Find the third term of the binomial expansion
The expansion of (x + y)n has n+1 terms while expanding. The answer can be found using the Pascal’s triangle or binomial expansion.
Find the third term of the binomial expansion
The expansion of (x + y)n has n+1 terms while expanding. The answer can be found using the Pascal’s triangle or binomial expansion.
Factor in the form . Then find the value of a,b and c.
Factor in the form . Then find the value of a,b and c.
Find the fifth term of the binomial expansion
The expansion of has n+1 terms while expanding. The answer can be found using the Pascal’s triangle or binomial expansion.
Find the fifth term of the binomial expansion
The expansion of has n+1 terms while expanding. The answer can be found using the Pascal’s triangle or binomial expansion.
The sum of the coefficients in the expansion of the expression is 64. Use Pascal’s triangle to find the value of n.
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
The sum of the coefficients in the expansion of the expression is 64. Use Pascal’s triangle to find the value of n.
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 ?
A student says that the expansion of the expression has seven terms. Describe and correct
the error the student may have made ?
Expand the expression .what is the sum of the coefficients?
Expand the expression .what is the sum of the coefficients?
Use Pascal’s triangle and the binomial theorem to expand . Justify your work.
Use Pascal’s triangle and the binomial theorem to expand . Justify your work.
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.