Polynomial Operations
Add the polynomials: (x2 + 3x - 2) + (4x3 - 10x2 + 6x)
What is 4x3 - 9x2 + 9x - 2?
What is 13?
Given the quadratic f(x) = -4(x - 2)2 + 10, is the vertex a maximum or a minimum? What is the vertex?
What is maximum, (2,10)?
Add the complex numbers: (4 - 10i) + (32 - 5i)
What is 36 - 15i?
Find y-intercept of the linear equation
y = 3x - 10
What is (0, -10)?
Subtract the polynomials: (7x2 + 10)-(18x2 - 3x + 11)
What is -11x2 + 3x - 1?
Given g(x) = x2 + 5x - 10, find g(2).
What is 4?
Given the function g(x) = 6x2 - 19x + 84, what is the y-intercept (written as a coordinate point)?
What is (0, 84)?
Subtract the complex numbers: (16 + 2i) - (12 - 2i)
What is 4 + 4i?
Solutions to a system of inequalities can be found here.
ie/ x + y < 2
3x - 3y > 10
What is in the overlapping shaded region?
Multiply the polynomials: (x + 2)(4x - 17)
What is 4x2 - 9x - 34?
Given h(x) = 6x - 7, find h(x+3).
Given the quadratic in intercept form
k(x) = (x - 2)(5x + 3), what are the x-intercepts of the function?
Multiply the complex numbers: (15 + 3i)(2 - 7i).
What is 51 - 79i?
f(x) is a function of number of baby rabbits born in a year and x is the number of months that have passed. The independent variable is _____________.
What is the number of months that have passed?
Divide
x3 + 3x2 + 3x +1 by (x + 1)
What is x2 + 2x + 1?
Given k(x) = x2 + 8x - 13, find k(x - 2).
What is x2 + 4x - 25?
Factor the quadratic: 3x2 + 3x - 60.
What is 3(x-4)(x+5)?
What is the value of i104?
In the 3 variable system:
-3x + 9y - 5z = -5
-3x + 2y - 3z = -9
3x + 6y + 4z = 7
y = ______.
What is 0?
Divide 3x3 + 2x2 + 10 by (x2 + x + 1).
What is 3x - 1 with a remainder of -2x + 11?
Given f(x) = -4x - 10 and g(x) = x2 + 1, find f(g(x)).
What is -4x2 - 6?
Using the quadratic formula, find the roots of the function: x2 + 10x + 11
What is ________ ? (Mrs. Rehling will write answer on the board because it's too hard to type here :))
Find the complex roots of the quadratic
t(x) = 3x2 +6x + 7
What is __________?
(Mrs. Rehling will write answer on the board because it is too hard to type on here:))
Write an inequality to describe the situation:
Olivia is starting a business selling homemade desserts. She sells cookies for $1.50 and pies for $5 each. She needs to make more than $100 each week to make a profit.
1.50x + 5y > 100