Find the Degree, Leading Term, and Leading Coefficient (x+4)^2(x-2)^5(x-1)

Math
Rewrite as .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by .
Move to the left of .
Multiply by .
Add and .
Use the Binomial Theorem.
Simplify each term.
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Multiply by .
Raise to the power of .
Multiply by .
Raise to the power of .
Multiply by .
Raise to the power of .
Multiply by .
Raise to the power of .
Expand by multiplying each term in the first expression by each term in the second expression.
Simplify terms.
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Simplify each term.
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Multiply by by adding the exponents.
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Use the power rule to combine exponents.
Add and .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Move to the left of .
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Simplify by adding terms.
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Combine the opposite terms in .
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Add and .
Add and .
Add and .
Subtract from .
Add and .
Add and .
Subtract from .
Add and .
Subtract from .
Add and .
Expand by multiplying each term in the first expression by each term in the second expression.
Simplify terms.
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Simplify each term.
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Multiply by by adding the exponents.
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Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Move to the left of .
Rewrite as .
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by by adding the exponents.
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Move .
Multiply by .
Multiply by .
Multiply by .
Simplify by adding terms.
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Combine the opposite terms in .
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Add and .
Add and .
Subtract from .
Subtract from .
Add and .
Subtract from .
Add and .
Subtract from .
The degree of a polynomial is the highest degree of its terms. In this case, the degree is .
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Identify the term with the largest exponent on the variable.
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The degree is the sum of the exponents of each variable in the expression. In this case, the degree of is .
The degree is the sum of the exponents of each variable in the expression. In this case, the degree of is .
The degree is the sum of the exponents of each variable in the expression. In this case, the degree of is .
The degree is the sum of the exponents of each variable in the expression. In this case, the degree of is .
The degree is the sum of the exponents of each variable in the expression. In this case, the degree of is .
The degree is the sum of the exponents of each variable in the expression. In this case, the degree of is .
The degree is the sum of the exponents of each variable in the expression. In this case, the degree of is .
The degree is the sum of the exponents of each variable in the expression. In this case, the degree of is .
Identify the term with the largest exponent on the variable.
The degree of the polynomial is the largest exponent on the variable.
A polynomial consists of terms, which are also known as monomials. The leading term in a polynomial is the highest degree term. In this case, the leading term in is the first term, which is .
The leading coefficient in a polynomial is the coefficient of the leading term. In this case, the leading term is and the leading coefficient is .
The polynomial degree is , the leading term is , and the leading coefficient is .
Polynomial Degree:
Leading Term:
Leading Coefficient:
Find the Degree, Leading Term, and Leading Coefficient (x+4)^2(x-2)^5(x-1)

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