Finding Roots of Polynomial Functions Using ±(p/q) and Synthetic Division

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We will walk through a process for solving for the roots (and factors) of the polynomial f(x) = x^4 -3x^3 + 5x^2 - x -10 using possible rational roots (± p/q) and synthetic division. This polynomial has two real roots and two roots that are complex conjugates.
  1. Dr. Pierce's Physics & Math
  2. factoring polynomials
  3. roots of polynomials
  4. p/q
  5. p/q example
  6. how to solve with p/q
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Автор

Thank you so much for this. We payed my summer school teacher 3k dollars to help me with algebra 2. She teaches us very hard methods and you just solved this problem for me in the easiest possible way. Thank you so much.

helloitsdp
Автор

Quick question can we use the first method of finding possible roots and plug each one into the equation to find all the roots or does it only work once?

helloitsdp
Автор

When plugging in, it has to equal 0 to be considered a root?

cosmiceggs