In this Taylor Series worksheet, students explore functions with an infinite series. They complete an integral of convergence and explore the degree of the polynomials. This four-page worksheet contains four multi-step problems.

Students determine the degree of polynomials.  In this determining the degree of polynomials lesson, students find the difference between consecutive y-values.  Students find the degree of a linear, quadratic, and cubic...

Using your graphing calculator, find all the rational zeroes of a polynomials by using the Rational Zero Theorem. Divide polynomials using the Remainder Theorem and the Factor Theorem and then graph it to find the number of real roots.

While there are many types of equations to solve, the main focus here is on quadratics. Starting with a quick review of the different methods, learners are guided through the solving process and are challenged to solve higher level...

In this further differentiation worksheet, students solve and complete 7 various types of problems. First, they sketch the graph of each equation using a stationary point. Then, students find the stationary points of each and describe...

In this algebra worksheet, students classify polynomials by their degree and number of terms. There are 30 questions with an answer key.

Students discuss the importance of fundamental theorems in math. In this calculus lesson, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how this...

In this math worksheet, pupils determine if the definite integral of given functions exist. They use a Taylor polynomial to approximate given values. Students express the arc length of a graph on a polar coordinate system as an integral.

In this solving equations worksheet, students solve forty-four algebraic equations for real and imaginary solutions. Types of equations include higher degress polynomials, rational equationals, radical equations, and square roots inside...

In this math worksheet, students solve the functions from the definition of Taylor polynomials of degree 4 centered at zero.

Students graph polynomials functions and analyze the end behavior. In this algebra lesson, student differentiate between the different polynomials based on the exponents. They use a TI to help with the graphing.

In this Fourier series worksheet, students use polynomials to approximate functions. They use trigonometric functions to approximate periodic functions. Students sketch graphs of functions and find the second degree Fourier polynomial....

Practice simplifying complex fractions and long division of polynomials with this brief exercise. These four questions make a challenging warm-up activity or a short, but comprehensive, follow-up after a detailed lesson on algebraic...

A middle school test contains two 40-minute sections covering material through algebra. All questions involve applied problem solving or mathematical analysis.

In this algebra instructional activity, students identify polynomials and state the degree and rewrite it in standard form. There are 32 questions ranging from polynomials to graphing a quadratic.

In this polynomial worksheet, students use factoring to simplify polynomials and identify its rational roots. Explanations and examples are provided. This two-page worksheet contains ten problems.

In this function worksheet, students factor polynomials, or use the FOIL method, to simplify polynomials and determine the roots. This three-page worksheet contains ten problems. Explanations and examples are provided.

In this quadratic formula worksheet, students use the quadratic formula to find the roots of a polynomial. Explanations and examples are provided. This two-page worksheet contains ten problems.

In this partial derivatives learning exercise, students find formulas for the vector partial derivative of a function. They prove that an elliptic cone can be represented parametrically. This two-page learning exercise contains...

Learners use their TI-89 calculator to find properties of the quartic polynomials. The activity includes detailed instructions along with screen shots of the graphing calculator display.

Students determine eigenvectors and eigenvalues for a matrix. Students diagonalize a matrix. Similar matrices are defined. Determinant formula is given for an degree n polynomial.

Students factor trinomials correctly. In this algebra lesson, students review the rules for factoring trinomials. They factor different polynomials as they relate the same concept and idea to facoring trinomials.

In this expressions and operations worksheet, 9th graders solve and complete 10 different multiple choice problems that include various types of expressions. First, they determine the complete factorization of a given trinomial. Then,...

Eleventh graders explore quadratic equations.  In this Algebra II lesson, 11th graders use Geometer’s Sketchpad to explore the properties of quadratics and the connections with polynomials and linear equations.  The lesson is...