# Find the Degree, Leading Term, and Leading Coefficient 4(2x-1)^3(x+7)^2(5-x) Simplify the polynomial, then reorder it left to right starting with the highest degree term.
Use the Binomial Theorem.
Simplify terms.
Simplify each term.
Apply the product rule to .
Raise to the power of .
Apply the product rule to .
Raise to the power of .
Multiply by .
Multiply by .
Multiply by .
Raise to the power of .
Multiply by .
Raise to the power of .
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Rewrite as .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply by .
Move to the left of .
Multiply by .
Expand by multiplying each term in the first expression by each term in the second expression.
Simplify terms.
Simplify each term.
Multiply by by adding the exponents.
Move .
Use the power rule to combine exponents.
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Multiply by .
Multiply by .
Multiply by by adding the exponents.
Move .
Use the power rule to combine exponents.
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Multiply by .
Multiply by .
Multiply by by adding the exponents.
Move .
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Simplify by adding terms.
Subtract from .
Subtract from .
Subtract from .
Subtract from .
Expand by multiplying each term in the first expression by each term in the second expression.
Simplify terms.
Simplify each term.
Multiply by .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Multiply by .
Multiply by .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Multiply by .
Multiply by .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Multiply by .
Multiply by .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Simplify by adding terms.
Subtract from .
Subtract from .
Subtract from .
Reorder and .
The degree of a polynomial is the highest degree of its terms.
Identify the exponents on the variables in each term, and add them together to find the degree of each term.
The largest exponent is the degree of the polynomial.
The leading term in a polynomial is the term with the highest degree.
The leading coefficient of a polynomial is the coefficient of the leading term.
The leading term in a polynomial is the term with the highest degree.
The leading coefficient in a polynomial is the coefficient of the leading term.
List the results.
Polynomial Degree: