
Converting Standard Form to Factored Form
Interactive Video
•
Mathematics
•
9th Grade
•
Hard
Curtis Collins
FREE Resource
8 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What information about a quadratic equation can be directly identified from its standard form, y = Ax² + Bx + C?
The x-intercepts
The vertex
The y-intercept
The slope
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What information about a quadratic equation can be directly identified from its factored form, y = A(x-p)(x-q)?
The y-intercept
The vertex
The axis of symmetry
The x-intercepts
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary mathematical operation required to convert a quadratic equation from standard form to factored form?
Completing the square
Using the quadratic formula
Factoring
Finding the vertex
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When converting the quadratic equation f(x) = 2x² - 4x - 30 to factored form, what is the first step?
Identify the y-intercept as -30
Factor out the greatest common factor (GCF)
Use the product-sum method directly
Find the vertex of the parabola
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When factoring the expression x^2 - 16x + 60, what two numbers multiply to 60 and add to -16?
-6 and -10
6 and 10
-4 and -15
-5 and -12
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For the quadratic function f(x) = -x^2 + 16x - 60, what are its x-intercepts and y-intercept?
x-intercepts: 6 and 10; y-intercept: -60
x-intercepts: -6 and -10; y-intercept: 60
x-intercepts: 6 and 10; y-intercept: 60
x-intercepts: -6 and -10; y-intercept: -60
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following represents the factored form of f(x) = 2x^2 + 3x + 1 before converting to proper factored form?
(2x - 1)(x - 1)
(2x + 1)(x + 1)
(2x + 1)(x - 1)
(2x - 1)(x + 1)
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