Exponents and Polynomials
Write the formulas for multiplying and dividing powers with the same base, where a represents the base and x and y represent the exponents
Multiplying:
a^x* a^y= a^(x+y)
Dividing:
(a^x/a^y) = a^(x-y)
The result of factoring:
x2 - 25
(x - 5)(x + 5)
The shape of the graph of a quadratic function.
What is a parabola?
What is the formula can be used to solve any quadratic function?
x =( -b pm sqrt(b^2 - 4ac)) /(2a)
A polygon referred to as a hexacontaheptagon has how many sides?
What is 67?
Hexaconta (60)
Hepta (7)
Multiply the polynomials. Write your final answer in standard form.
(2x-5)(3x^2-x+6)
6x^3-17x^2+17x-30
This type of algebraic expression can be factored perfectly into a squared binomial.
What is perfect square trinomial?
a2+2ab+b2
The name of the line that divides a quadratic function exactly in half.
What is the axis of symmetry?
Solve using the quadratic formula:
2m2 + 2m − 12 = 0
m = -3, 2
This value in the quadratic formula helps determine how many real solutions a quadratic equation has.
What is the discriminant?
This rapper claimed the only problems he does are “math problems with profit.”
Who is Drake
The result of factoring:
x2 + 10x + 25
(x+5)^2
Order the following quadratic functions from narrowest to widest:
y=4x2 y=-12x2 y=11x2 y=-2x2
What is:
y=-12x2, y=11x2, y=4x2, y=-2x2
Solve the following quadratic equation:
2x2 + 9x + 4 = 0
x= -4, -1/2
The result of factoring:
-8a2 + 98
-2(2a + 7)(2a - 7)
Simplify the expression:
g^2+1/4(44g^2- 12g + 8) -8g
12g^2-11g+2
The result of factoring:
7x2+7x-42
7(x+3)(x-2)
Find the vertex for the quadratic function:
y = x2 + 10x + 6
What is (-5, -19)
Solve the following quadratic equation:
2x2 -5 = 13
x = 3, -3
If the discriminant is:
Positive it has ____ solutions
Negative is has ____ solutions
Equal to zero it has ____ solutions
2
1
No solutions
Simplify
((4kd^5)/(3k^3d^4))^3
(64d^3)/(27k^6)
The result of factoring:
3x3 + 30x2 + 63x
3x(x + 7)(x + 3)
Find the zeros (x-intercepts) and y-intercept of the following:
y = x2 - 8x - 20
x = 10 and x = -2
y-intercept: (0,-20)
Who was this morning's spotlight during the announcements?
Barbra Streisand
Name three ways to solve a quadratic equation.
Solving quadratics by completing the square
Solving quadratics by graphing
Factoring quadratics
Using the quadratic formula
Taking square roots