Writing a Polynomial from Irrational Zeros

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Taught by mrbrianmclogan
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Meets NCTM Standards:
Lesson Summary:

In this lesson, we learn how to find the polynomial with irrational zeros. We start by writing the zeros as a set of linear factors, then using the distributive property and grouping like terms. We then notice that we can use the difference of two squares to eliminate the middle terms and simplify the polynomial. Finally, we combine like terms to arrive at the final function. This lesson is useful because it demonstrates how to handle irrational zeros, which is a common occurrence in math problems.

Lesson Description:

Finding the polynomial with irrational zeros

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Questions answered by this video:
  • If the zeros of a function are 2, 4+√5,4-√5 (i)what are its factors (ii)how can you rearrange them to make it simpler to factorise?