Complex Numbers
3(4+i)
12+3i
What's the vertex of f(x)=x2?
(0,0); origin
What is the end behavior?
f(x)=x3+x-3
Fall Left, Rises Right
4x2-5x-6 divided by x-2
4x+3
i(7i)
-7
What's the vertex of f(x)=-(x-4)2-8?
(4,-8)
What are the zeros of f(x)= x2(x-2)
0 and 2; x=0, x=2
2x2+5x+3 divide x+1
2x+3
3i(4i+3)
9i-12
What's are the axis of symmetry of f(x)=-(x-2)2+7
x=2
Is there a real zero from 1 to -1 for f(x)=2x4+2x2+2x?
Yes!
4x2+9x+2 divided by x+2
4x+1
(6+i)(4-2i)
26-8i
What is the y-intercept of f(x)=-(x-1)2+7
y=6
What are to zeros and their multiplicity of
f(x)=x2(x-3)3(x+1)2(2x-3)
x=0 with mult 2, x=3 with mult 3, x=-1 with mult 2, x= 3/2 with mult 1
2x2+x-1 divided by x+1
2x-1
3i(3i3+3i)
0
What's are the x-intercepts of f(x)=-(x-1)2+9
(-2,0), (4,0); x=-2 or 4
What are the zeros of f(x)=2x3+4x2-2x-4?
x=2, x=1, x=-1
3x2+2x-8 divided by x+2
3x-4