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Polynomial Unit, Part 2 (division, factoring, & solving)
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Key Concepts:
Terms in this set (24)
synthetic division
multiply, add
long division
multiply, subtract
real root
where it crosses the x axis
Factor: x^3 - 10x^2 + 24x
x(x - 6)(x - 4)
Factor: x^3 + 2x^2 - 3x
x(x + 3)(x - 1)
Factor: x^ 3 - x^2 - 30x
x(x - 6)(x + 5)
Factor: 2x^2 + x - 15
(2x - 5)(x + 3)
Factor: x^3 - 8
(x - 2)(x^2 + 2x + 4)
quintic
possibly 3 real & 2 imaginary roots
quartic
possibly 2 real & 2 imaginary roots
cubic
possibly 1 real and 2 imaginary
conjugates
1 + 2i & 1 - 2i
Remainder of (2x^3 - 4x^2 + 3x - 1) / (x - 3)
26
Remainder of (x^3 - 7x + 5) / (x + 3)
-1
Remainder of (x^4 + 2x^3 - 8x - 16) / (x + 2)
0
(2x^2 + 5x - 8) / (3x + 1)
-1/3 goes in the box
(x^2 + 6x + 5) / (x + 5)
-5 goes in the box
(x + 7)
factored form of a zero of -7
(x - 2)
factored form of a zero of 2
y = x
inverses reflect across this line
factor
remainder is 0
turning points
one less than the degree
degree
highest exponent
domain
all possible x values
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