This is a wonderful and complete guided notes/examples packet for high school Algebra 2 level math classes focusing on the topic of POLYNOMIALS. The following topics/skills listed below are addressed in this resource (and are listed on the last page of this PDF resource). I can provide an answer key, if requested. I hope it helps you AND your students! Wonderful resource for lessons!

→Simplify expressions using rules for exponents.

→Multiply and divide numbers in scientific notation.

→Given a function, determine whether or not it is a polynomial function.

→Write a polynomial function in standard form, state the degree, type and the leading coefficient.

→Use direct substitution and synthetic substitution to evaluate a polynomial function for a given value of x.

→Recognize the shape of a polynomial function and make a rough sketch of it.

→Graph a polynomial, with the assistance of a calculator, labeling the x-intercept(s) and y-intercept.

→Add, subtract, and multiply two or more polynomials.

→Recognize when to use the sum and difference patterns for cubics, and apply these patterns.

→Factor a cubic polynomial by grouping.

→Solve a polynomial by grouping.

→Divide polynomials using synthetic division.

→Find the roots/zeros/x-intercepts of a polynomial, given one of the roots/zeros/x-intercepts.

→List all of the possible rational zeros/roots/x-intercepts of a polynomial AND use this list and trial and error to find all of the rational zeros/roots/x-intercepts of a polynomial.

→Find all of the roots/zeros/x-intercepts of a polynomial, whether they are rational (no square roots), irrational (with square roots) or imaginary (with i’s).

→Given some of the roots/answers/zeros/x-intercepts of  a polynomial, list the other roots/zeros/x-intercepts, write the factors, and write the polynomial in factored form.

→Given the roots of a polynomial, graph the function, including double roots.