Algebra Chapter 7 Part B dward
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What is a monomial?
A number, a variable, or a product of a numbers and variables with whole-number exponents.
What is the degree of a monomial?
The sum of the exponents of the variables.
What is a polynomial?
A monomial or a sum or difference of monomials.
What is the degree of a polynomial?
The degree of the term with the greatest degree.
What is standard form of a polynomial that contains one variable?
Terms written in order from greatest degree to least degree.
What are the special names of polynomials based on degree.
- 0: Constant
- 1: Linear
- 2: Quadratic
- 3: Cubic
- 4: Quartic
- 5: Quintic
- 6 or more: 6th degree, 7th degree, and so on.
What are the special names of polynomials based on number of terms.
- 1: Monomial
- 2: Binomial
- 3: Trinomial
- 4 or more: Polynomial
What is a root of a polynomial in one variable?
The value of the variable for which the polynomial is equal to zero.
How do you add or subtract monomials?
Combine like terms.
How do you add or subtract polynomials?
- Put one polynomial above the other. Align like terms. Add.
- In horizontal form use associative and commutative properties to combine like terms. Add.
- To subtract write the opposite of every term then add.
How do you multiply polynomials?
Use the exponent rules. Use the distributive property to make sure you multiply each term in the first polynomial by each term in the second polynomial.
Perfect Square Trinomial: (a + b)2
a2 + 2ab + b2
Perfect Square Trinomial: (a - b)2
a2 - 2ab - b2
Difference of Two Squares: (a + b)(a - b)
a2 - b2
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