In this lesson, we learn how to divide polynomials using both long division and synthetic division. It's important to make sure that every single degree in the polynomial is taken care of, and a placeholder can be used when necessary. We also learn that finding the zeros of a polynomial can help us find the intercepts of the graph, which can be found by evaluating the function at each zero.
Overview of dividing polynomials
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Questions answered by this video:
How do I find all the linear factors of a polynomial?
How do I find all the zeros of a polynomial?
How do I find all the x-intercepts of a polynomial?
What are all the linear factors of x^3-28x-48?
What are all the zeros of x^3-28x-48?
What are the x-intercepts of x^3-28x-48?
What is (x^3-28x-48)Ã·(x+4) equal to?
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This lesson talks about how to find the linear factors and zeros of a polynomial if you already know one linear factor or zero.