4.1 Graphs of Polynomials Functions
4.2 Add/Subtract/Multiply/Polynomials
4.3 Dividing Polynomials
4.4 Factoring Polynomials
4.5 Complex & Imaginary Roots
100
State the intervals where the function is positive and negative.
f(x) pos: (-∞,∞)
100
Multiply these three binomials.
(x+3)(x+2)(x+4) *FOIL
x3+9x2+26+24
100
(2x3-13x2+26x-24) ÷ (x-4)
2x2-5x+6 r0
100
*Factor using common monomials
64-40ab
8(8-5ab)
100
x2 + 6x +9= 0
x= {-3, -3}
200
State the intervals where the function is positive and negative.
f(x) pos: (-3, 1)
F(x) neg: (-∞, -3) (1, ∞)
200
Add the Polynomials
(4x2+4x+1) + (4x+20)
4x2+8x+21
200
(2x2+x+18) ÷ (x+2)
(2x3-3x2+4x+5)
200
30ad + 60a2d2
*Factor using a GCF
(1 + 2ad)
200
10x2 - 5x =25
√1025
300
f(x) pos: (-∞,-1) (3.5, ∞)
∞∞f(x) neg: (-1, 3.5)
300
Subtract Polynomials
(5x2-9x+11) + (2x2+3x+2)
7x2-12x+13
300
What number do you put in if a term is missing?
0
300
When factoring by grouping there must be identical pairs, true or false?
true
300
What form are irrational roots in?
Irrational roots are in the form of a±√4
400
State the interval where the function is positive or negative.
f(x) pos (-∞,0.5)
f(x) neg (0.5, -∞)
400
Add the polynomials
(3x2-8x+7)+(2x2-6x+12)
5x2-14x+19
400
(2x3+3x2-4x+15) ÷ (x+3)
2x2-3x+5 r24
400
When factoring by grouping there must be common factors, true or false?
True
400
What form are imaginary roots in?
a± bi, i2 = -1, √-1=i
500
State the intervals where the function is positive or negative.
f(x) pos: (-∞,-3) (-1,2) (5,∞)
f(x) neg: (-3,-1) (2,5)
500
Multiply the Polynomials
(2x-3)(2x2+x-4)
4x3-4x2-11x+12
500
(x4-3x3-11x2+5x+17)÷(x+2)
1x3-5x2-1x+7 r3
500
Factor using common monomials.
15ad+30a2d2
15ad(1+2ad)
500
Write a polynomial function of least degree.
Using --> {2, 3 + i}
*Use zeros to write polynomial functions
x=2 --> (x-2) =0
x= i --> (x-i) =0
x=i --> (x+i) =0