Understanding_the_binomial_theorem
Now that you know how to use the binomial theorem in order to expand powers of binomial expressions, let's gain further insight into why this actually works!
Use all the knowledge you have about polynomials to find their zeros (which are the input values that make the polynomial equal to zero).
Combine your knowledge about the zeros and the end behavior of a polynomial in order to sketch its graph.
Learn how to expand powers of binomial expressions (which are polynomial expressions with exactly two terms). This is done using the binomial theorem!
Quadratic_equations_with_complex_numbers
Remember all these quadratic equations with "no real solution"? Well, it turns out those equations do have a solution, it's just a complex number! Solve a bunch of those here.
End_behavior_of_polynomial_functions
Learn about the end behavior of polynomial functions. End behavior is the way the function behaves as the input values grow infinitely positive or infinitely negative.
Introduction_to_symmetry_of_functions
You may already be familiar with types of symmetries of geometrical shapes. Learn how functions can be symmetrical too!
The_Fundamental_Theorem_of_Algebra
You may already have noticed that quadratic equations always have a solution when including complex number solutions. It turns out this is true for any polynomial equation, of any degree! Learn about this and more, right here.
Zeros_of_polynomials_and_their_graphs
Learn how to use the zeros of polynomials to draw a pretty good sketch of their graphs.
Practice proving polynomial identities, using all the factorization and expansion methods you know.
Advanced_polynomial_factorization_methods
Learn more ways to factor polynomials with degree higher than 2.
Factoring_polynomials_Quadratic_forms
Learn how to factor quadratic polynomials of the form ax^2+bx+c as the product of two linear binomials. Learn how to identify these forms in more elaborate polynomials that aren't necessarily quadratic.
Symmetry_of_polynomial_functions
Learn how to determine the symmetry of a polynomial function.
Factoring_polynomials_Special_product_forms
Learn how to factor quadratics that have the "perfect square" form and the "difference of squares" form. Learn how to identify these forms in more elaborate polynomials that aren't necessarily quadratic.
Polynomial_identities_with_complex_numbers
Prove more polynomial identities, this time including complex numbers!
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