remainder factor theorems may 27 2009
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What are the factors of 15?
Is x 3 a factor of 2x 4x 3 2
Long division:
Is x 3 a factor of 2x 4x 3 2
Synthetic Division:
Remainder Theorem:
If P(x) is a polynomial, then P(a) is equal to the remainder when P(x) is divided by x a.
Is x + 3 a factor of x 10x 2x + 44 2
Factor Theorem:
A polynomial P(x) has a factor x a if and only if P(a) = 0
Determine whether x + 2 is a factor of
f(x) = x 6x 43
Is x + 2 a factor of x + 4x + 5x + 23 2
Divide 6x + 16x 19x 43 2 by x 2
Divide x 10x 2x + 44 2 by x + 3
Divide x 10x 2x + 44 2 by x + 3
Completely factor
f(x) = x 2x 5x + 63 2
constantterm
Completely factor: f(x) = 2x + 3x 8x + 33 2
(x 1)(x + 3)(2x 1)
Exercise 53
Questions 1 8
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