What is Zeros: 6, -1, Vertex: (2.5, -12.25), Y-intercept: (0, -6)
200
Complete the square for the following expression. Write the resulting expression as a perfect square trinomial.
x^2-18x
What is x^2-18x-81
200
Multiply.
(x-2)(-x^2+3x+1)
What is -x^3+5x^2-5x-2
200
Factor the expression.
5x^4+40x
What is 5x(x+2)(x^2-2x+4)
300
Find A*B.
A=[0 4 9] B=[5 1]
[-3 3 2] [-2 7]
[6 0]
What is [46 28]
[-9 18]
300
Express in terms of i.
the square root of -50
What is 5sqrt(2)i
300
Find the zeros using the quadratic formula.
x^2-8x+16
What is 4+ or - sqrt(6)
300
Find the leading coefficient, degree, and end behavior.
f(x)=-4x^3-3x^2+5x+6
What is Leading coefficient: -4, Degree: 3, As x --> negative infinity f(x) --> positive infinity, and as x --> positive infinity, f(x) --> negative infinity
300
Write the simplest polynomial function with zeros 1+i, the square root of 2, and -3.
What is f(x)=x^5+x^4-6x^3+4x^2+8x-12
400
Use Cramer's Rule to solve the system of equations.
{ x-y= 3
{ 2x-y= -1
What is (-4,-7)
400
Solve using any method.
x^2-4x+1 > 6
What is x < -1 or x > 5
400
Write a quadratic equation that fits the points (0,5), (2,1), and (3,2)
What is x^2-4x+5
400
The Producer of Cracker Jacks is designing a new box for the popcorn. The marketing department has designed a box with the width 2 inches less than the length and with the height 5 inches greater than the length. The volume of each box must be 24 cubic inches. What is then length of the box? Use the rational root theorem.
What is 3 inches. :)
400
Use infinite differences to determine the degree of the polynomial that best describes the data.
x: -6 -4 -2 0 2 4
y: -30 15 30 34 41 60
What is the fourth differences are constant. A quartic polynomial best describes the data.
500
Determine whether the given matrices are inverses. Give the formula to find the inverse of A.
A=[1 1] B=[1 -1]
[0 1] [0 1]
What is 1/detA[d -b]
[-c a]
Yes, they are inverses.
500
Write in terms of a+bi
i(4+i)
What is 1+4i
500
Simplify.
5-2i/3+i * 3-i/3-i
What is 13-11i/10
500
Identify all the real roots of 4x^4-21x^3+18x^2+19x-6=0 Use Rational Root Theorem to solve.