Vocabulary
quadratic functions
Real Zeros of Polynomial Functions
Complex Numbers
fundamental theorem of algebra
100
vertex
What is the point where the axis intersects the parabola
100
-2,1
What are the zeros of f(x)=x^2 +x-2
100
2 -1 4 remainder -1
use synthetic division and divide 2x - 7x + 7x – 13 by x - 3
100
15+2i
What is (7+5i)+(8-3i)
100
3x-12=3(x-4)
factor 3x-12
200
parabola
What is a special type of U-shaped curve
200
-2, -49
find vertex of f(x)=(x+9)(x-5)
200
x=1 is a zero of x^3-1
use synthetic division to determine whether x=1 is a zero of x^3
200
-2+1i squareroot of 2
What is (1+7i squareroot of 2) +(-3-6i squareroot 2)
200
12y^2-5=y(12y-5)
factor 12y^2-5y
300
Quadratic Function
What is 2nd degree polynomial funtions
300
-2, -24
find vertex of parabola y=3(-2)^2 +12(-2)-12
300
use synthetic division to determine whether x-4 is a factor of 2x^5 +6x^4 +10x^3 -6x^2 -9+4
yes it is a factor
300
1+16i
Subtract (8- squareroot of -100) from (+ squareroot of 36)
300
xy=(x(y^2)+1)
factor (x^2)(y^3)+xy
400
complex number standard form
What is a+bi
400
(1/2, 7/2)
write f(x)=-2x^2 +2x+3 in standard form and find the vertex
400
x^2 -2x-5+-10/2x-5
divide 2x^3 -9x^2 +15 by 2x-5
400
-16+i squareroot of 5
subtract (7+3i squareroot of 5) from (-9+4i squareroot of 5)
400
3x(x^2 +2x-5
factor 3x^3+6x^2-15x
500
intermediate value theorem
What concerns existence of real zeros of polynomial functions
500
3+ or - squareroot of 2 -- zeros f(x)=x-3^2 - 2 --- standard form 3,-2 ------vertex
write the function f(x)=x^2 -6x+7 in standard form. find zeros and vertex
500
x^2 +x+2
divide 4x^4 3x^3 2x+1 by x^2+x+2
500
-6-3i
add (2+3i)+(-8-6i)
500
2+i 2-i -3 1
2+i is a zero of polynomial p(x)=(x-2)(x^3)-6(x^2)(+22)(x-15)
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