October 14, 2015
Obj: To learn about Long Division of Polynomials, Remainder and Factor
Theorems, Synthetic Division, Rational Zeros Theorem.
Remainder Theorem:
If a polynomial f(x) is divided by x-k, then the remainder
is r = f(k).
Find the remainder when f(x)=3x2+ 7x - 20 is divided by x + 4.
October 14, 2015
Obj: To learn about Long Division of Polynomials, Remainder and Factor
Theorems, Synthetic Division, Rational Zeros Theorem.
Q: What does it mean to get a remainder of 0?
Factor Theorem:
A polynomial function f(x) has a factor of x - k iff f(k)=0.
Is x - 3 a factor of x3- x2- x- 15?
October 14, 2015
3 2
Is x - 3 a factor of x - x - x- 15?
October 14, 2015
Obj: To learn about Long Division of Polynomials, Remainder and Factor
Theorems, Synthetic Division, Rational Zeros Theorem.
Synthetic Division
Divide 2x3 - 3x2 - 5x - 12 by x - 3 using synthetic division.