Division
Zeros
Write the polynomial
Maximum and Minimums
Complex Numbers
100
Divide the following expressions
`(5x^3-6x^2-28x+8)/(x+2`
What is
`5x^2-16x+4`
100
Find the zeros
`f(x)=x^2-5x-6`
What is
-1, 6
100
Write the polynomial function with integral coefficients containing the following zeros
0, 5, -4
What is
`f(x)=x^3-x^2-20x`
100
To find a maximum or minimum value of a function in quadratic form, you calculate x by...
What is
`x=(-b)/(2a)`
100
Add
`(2-i) + (-3-4i)`
What is
200
Divide the following
`(5x^3-4x^2+7x-2)/(x^2+1)`
What is
`5x-4 + (2x+2)/(x^2+1)`
200
List all possible rational zeros
`f(x)=2x^4+3x^3-5x^2+7x-15`
What is
`+ or- (1, 3, 5, 15, 1/2, 3/2, 5/2, 15/2)`
200
Write the polynomial function given
What is
`x^4-22x^2-24x+45`
200
The path of a baseball is given below. When will the baseball reach its maximum height? What is that height?
`s(t)=-16t^2+44t+4`
What is
`1.375 sec, 34.25ft`
200
Simplify the higher power of i
`i^1239`
What is
`-i`
300
Divide the following using Synthetic Division
`(6x^2+5x-10)/(2x+3)`
What is
`(3x-2)+ (-4)/(2x+3)`
300
Find all real zeros given the following zero
`-1/3`
`f(x)=6x^3+17x^2-31x-12`
What is
`-4 and 3/2`
300
Write the polynomial function with the given zeros and point (1, 12)
Zeros:
`i sqrt2, -1, 2`
What is
`f(x)=-2x^4+2x^3+4x+8`
300
Find two numbers such that their product is a maximum and the sum of the first and twice the second is 24
What is 12 and 6
300
Simplify
`(sqrt-12*sqrt-6)/(sqrt8`
What is
-3
400
Divide the following
`(x^3+5/2 x^2+x+2)/(2x^2+x-1)`
What is
`1/2 x +1 +(1/2 x +3)/(2x^2+x-1)`
400
Find all zeros.
`f(x)=21x^4+13x^3-103x^2-65x-10`
What is
`-2/7, -1/3, sqrt5, -sqrt 5`
400
Complete the square to put the function in quadratic form
`f(x)=3x^2+4x-1`
What is
`f(x)=3(x+2/3)^2-7/3`
400
A farmer 1000 feet of fencing to enclose a rectangular area. What dimensions for the rectangle will maximize the space enclosed?
What is
250 ft x 250 ft
400
Simplify
`(-12-5i)/(3-2i)`
What is
`-2-3i`
500
Find k so that -0.5 is a zero of the given polynomial
`4x^3+12x^2+kx+1`
What is
7
500
Find all zeros given i is a zero.
`f(x)=x^4-2x^3+3x^2-2x+2`
What is
`i, -i, 1+i, 1-i`
500
Write the polynomial with the given zeros
`-2+i, -2-i, 3, -3`
What is
`f(x)=x^4+4x^3-4x^2-36x-45`
500
Last year, a banquet hall charged $30 per person, and 60 people attended the hockey banquet dinner. This year, the hall’s manager has said that for every 10 extra people that attend the banquet, they will decrease the price by $1.50 per person. What size group would maximize the profit for the hall this year and what would the maximum profit be?
130 people bring in $2535
500
Simplify
`(sqrt3/2+1/2i)^3`
What is
i