| Thus far, we have been dealing with linear expressions and equations. These monomials have variables to the first power. Nomial is another word for term, and poly means many. A monomial is a single term and a polynomial can have many terms. The simplest polynomials are in one variable and each term has that variable raised to a different power or exponent. Remember, only like variables raised to the same power can be added. |
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11.1 Exponents & Monomial Operations |
- Simplify exponent expressions using the product, quotient, and power rules.
- Apply the zero exponent rule and the negative exponent rule.
- Simplify an expression by multiplying monomials or powers of monomials.
- Simplify an expression by dividing monomials or powers of monomials. |
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11.2 Adding & Subtracting Polynomials |
- Classify polynomials by degree and as a monomial, binomial, or trinomial.
- Evaluate polynomials using substitution.
- Add and subtract polynomial expressions. |
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11.3 Multiplying Polynomials |
- Multiply a monomial by a polynomial using the distributive property.
- Multiply a polynomial by a polynomial using the distributive property. |
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11.4 Dividing Polynomials |
- Divide a polynomial by a monomial utilizing the common monomial divisor.
- Divide a polynomial by a polynomial utilizing the long division algorithm. |
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11.5 Additional Assignments |
- Apply the synthetic division algorithm to divide a polynomial by a binomial.
- Substitute an expression into a polynomial and simplify the resulting polynomial expression. |
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