The Joy of Matrices
Quadratics
Quadratic Squared!
Polynomials
Fun with Polynomials
100
A=|4 -2| B= |4 -1 -5| C= | 3 2| D= |0 1 -3| |-3 10| |3 2 8 | | 0 -9| |3 0 10| |2 6| |-5 14| Find A + C
What is | 7 0 | |-3 1 | |-3 20 |
100
Using the parent function f(x)=x^2, describe this transformation: g(x)=1/4x^2+2
What is vertical stretch by a factor of 1/4 and a translation 2 units up
100
Find the maximum of this function. State the domain and range. h(x)=x^2+8x+16
What is Minimum: 0, Domain: all real numbers, y is greater than or equal to 0
100
Rewrite this polynomial in standard form. Identify the leading coefficient, degree, number of terms, and the name. 7x^3-11x+x^5-2
What is x^5+7x^3-11x-2 LC: 1 Degree: 5 4 terms quintic polynomial
100
Add. (3x^2+7x+x) + (14x^3+2+x^2-x)
What is 14x^3+4x^2+9
200
Evaluate 2A - 3B, if possible. A=[4 -2] B=[4 -1 -5] [-3 10] [3 2 8]
What is not possible?
200
Find the zeros, y-intercept, and vertex
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.
What is (x+3/4)(x-2)(4x^2-16x+4)
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