Zeros of a Fourth Degree Polynomial
In this lesson, we learn how to find the zeros of a fourth degree polynomial and how to determine the multiplicity of those zeros. We start by factoring the polynomial to its linear factors and then identifying the values of x that make the function equal to zero. The multiplicity of a zero is determined by the power of its corresponding factor. A zero with an even multiplicity will touch the x-axis while a zero with an odd multiplicity will cross it.
Finding the Zeros of a polynomial to the fourth degree
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- What is the leading term in g(x)=xⴠ- 4x²?
- What is the leading coefficient in g(x)=xⴠ- 4x²?
- What is the behaviour of the graph when the degree is even?
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