Synthetic Division
Find the Factors or the Zeros
All Things Quadratic
Logarithms
Grab Bag
100
Use synthetic division to divide
(x^3-x^2-x-15) div (x-3)
What is
x^2+2x+5
100
Find the zeros of
f(x)=x^3+x^2-5x+3
What is x={-3,1}
100
Factor
x^2+5x-14
What is
(x-2)(x+7)?
100
log(-14)
What is: undefined
100
What is the value of
(3^2*3^6)/3^4?
What is 81
200
Use synthetic division to divide:
(4x^3+9x^2-3x-10) div (x+2)
What is
4x^2+x-5
200
What are the potential rational zeros of
x^3+x^2-5x+3?
What is +-1,+-3
200
Factor completely
x^2+3x-10.
What is (x-2)(x+5)
200
Evaluate
log_2(4^5)
What is 10
200
Solve
(1/4x)-(1/x^2)=(1/4x^2)
What is x=5
300
Use synthetic division:
(x^2-2x+3)div(x-1)
What is
x-1+2/(x-1)
300
Find all the zeros of the function:
f(x)=10x^3-11x^2+3x
What is x={0, 1/2, 3/5}
300
Factor completely
2x^2+7x-4
What is (2x-1)(x+4)
300
Solve for x.
log(x^2)=2
What is x=+-10
300
Solve
16^(3h)=64
What is h=1/2
400
Use synthetic division:
(4x^4+3x^3-2x^2+7x-9) div (x+2)
What is
4x^3-5x^2+8x-9+9/(x+2)
400
What are the factors of
f(x)=10x^3-11x^2+3x?
What is x (2x-1) (5x-3)
400
What are the zeros of
x^2-5x+6?
400
Solve
6-log(x+2)=5
What is x=8
400
State the domain and range of the function:
f(x)=5*sqrt(4-x)
What is
domain: [4, infinity) and range:[0, infinity)
500
Use synthetic division:
(n^3-n^2-24n+24)div (n-3)
What is
n^2+2n-18-30/(n-3)
500
Factor completely:
f(x)=4x^6-8x^5+6x^3-12x^2
What is
2x^2(2x^3+3)(x-2)
500
What is the RECIPROCAL of the quadratic formula?
What is 2a/(-b+-squareroot(b^2-4ac))
(2a)/(-b+-sqrt(b^2-4ac))
500
Solve.
ln(3x-2)+ln(x-1)=2ln(x)
What is x=2 (exclude 1/2 as a solution)
500
Solve without a calculator. Do not simplify.
e^x=5+sqrt(26)
What is
x=ln(5+sqrt(26))