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Explain why you don’t have to subtract when using Synthetic Division

Learn why subtracting is not necessary when using synthetic division, and understand the fundamental theorem of algebra, remainder theorem, factor theorem, and quadratic formula. This includes classwork, a worksheet, and an exit ticket for homework.

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Explain why you don’t have to subtract when using Synthetic Division

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  1. 10-12-18 Bell Ringer Explain why you don’t have to subtract when using Synthetic Division

  2. Polynomial Theorems Friday, October 12, 2018

  3. Fundamental Theorem of Algebra The number of roots of a polynomial is equal to its degree.

  4. The Remainder Theorem The remainder when dividing a polynomial by (x-a) is the value of that polynomial at “a”.

  5. The Factor Theorem The binomial x-a is a factor of the polynomial f(x) if and only if f(a)=0.

  6. The Quadratic Formula If you can’t Factor a quadratic, you can always use the quadratic formula which is how you can find imaginary roots.

  7. Algebra II book p.368 #13-40 all omit #29 & 30 Classwork

  8. Fundamental Theorem/Remainder Theorem Worksheet Homework

  9. Exit Ticket • 1. How does the degree of a polynomial relate to its factors? • 2. If something is a factor of a polynomial, what is the remainder if you were to divide by that factor?

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