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

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Presentation transcript:

Explain why you don’t have to subtract when using Synthetic Division Bell Ringer 3-1-18 Explain why you don’t have to subtract when using Synthetic Division

Polynomial Theorems Thursday, March 1, 2018

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

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

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

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.

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

Fundamental Theorem/ Remainder Theorem Worksheet Homework Fundamental Theorem/ Remainder Theorem Worksheet

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?