Complex Numbers
Simplify:
-25i^2
25
Factor the following expression:
x^2-121
(x+11)(x-11)
Simplify the following expression:
(7x^2-5x+3)+(2x^3+3x^2-7)
2x^3+10x^2-5x-4
Evaluate the following function at f(-4):
f(x)=2x^2-6x+12
f(-4)=68
What is the y-intercept of the following polynomial?
f(x)=x^4+6x^3-2x^2-9x
(0,0)
Simplify:
sqrt(-54)
3isqrt(6)
Factor the following expression:
6x^2+4x
2x(3x+2)
Simplify the following expression:
(7x^2-5x+3)-(2x^3+3x^2-7)
-2x^3+4x^2-5x+10
Evaluate (f + g)(x):
f(x)=2x^2-5x+7
g(x)=3x^2+2x-4
(f+g)(x)=5x^2-3x+3
What is the degree of the following polynomial function?
f(x)=3x^6-5x^4+2x^2-1
6th Degree.
Combine the following complex numbers:
(4+5i)+(7-2i)-(3-8i)
8+11i
Solve the following:
x^2+9x+14=0
x=-7,-2
Simplify the following expression:
(x+2)(x^2-4x+5)
x^3-2x^2-3x+10
Evaluate the following:
f(6)-f(3)
f(x)=5x+2
15
Identify how many crosses, bounces AND curves there are in the following (yes, all three must be correct).
f(x)=x(x-1)^3(x+3)^2(x+1)^3(x-5)(x+7)^3
Crosses: 2
Bounces: 1
Curves: 3
Multiply the following expression:
2i(3+4i)
-8+6i
What are the solutions to the following equation?
x^2-5x-24=0
x={-3,8}
Simplify the following expression:
(x^4+x^3-10x^2+13x-10)-:(x-2)
x^3+3x^2-4x+5
Find the inverse of the following function:
f(x)=(x+7)/2
f^-1(x)=2x-7
What is the end behavior for the following polynomial?
f(x)=-5x^3-3x^2-7
Up - Down
Multiply the following expression:
(2-5i)(3+4i)
26-7i
Find the solution(s):
(x+3)^2-7=18
x={-8,2}
What is the third term of the following?
(x+3)^5
90x^3
Find the inverse of the function:
f(x)=(x-3)^2+2
f^-1(x)=sqrt(x-2)+3
Name the End Behavior, X-Intercepts and Y-Intercept for the following function (must have all three correct):
f(x)=(x-2)^2(x+1)(x+5)
End Behavior: Up-Up
X-Intercepts at (2,0) (-1,0) (-5,0)
Y-Intercept at (0,20)