Graphing, Factoring & Solving Cubic Functions

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a cubic function?
Back
A cubic function is a polynomial function of degree three, typically expressed in the form f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What does it mean to factor a polynomial?
Back
Factoring a polynomial involves expressing it as a product of its factors, which are polynomials of lower degrees.
3.
FLASHCARD QUESTION
Front
What is the difference of cubes formula?
Back
The difference of cubes formula states that a^3 - b^3 = (a - b)(a^2 + ab + b^2).
Tags
CCSS.HSA.APR.C.4
4.
FLASHCARD QUESTION
Front
What is the sum of cubes formula?
Back
The sum of cubes formula states that a^3 + b^3 = (a + b)(a^2 - ab + b^2).
Tags
CCSS.6.EE.A.2C
5.
FLASHCARD QUESTION
Front
How do you factor x^3 - 64?
Back
Using the difference of cubes formula: x^3 - 4^3 = (x - 4)(x^2 + 4x + 16).
Tags
CCSS.HSA.APR.C.4
6.
FLASHCARD QUESTION
Front
What is the first step in factoring 2x^4y - 54xy?
Back
Factor out the greatest common factor (GCF), which is 2xy, resulting in 2xy(x^3 - 27).
7.
FLASHCARD QUESTION
Front
What is the factored form of 8u^3 + 27?
Back
Using the sum of cubes formula: 8u^3 + 27 = (2u + 3)(4u^2 - 6u + 9).
Tags
CCSS.HSA.APR.C.4
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