
Exam Review - Polynomials and Radical Equations
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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16 questions
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1.
FLASHCARD QUESTION
Front
What is synthetic division?
Back
A method used to divide polynomials, particularly useful for dividing by linear factors of the form (x - c).
2.
FLASHCARD QUESTION
Front
Can you use synthetic division to divide the polynomial (2x^3 + 7x^2 - 6x - 8) by (x + 4)?
Back
Yes, synthetic division can be used in this case.
3.
FLASHCARD QUESTION
Front
What is the factored form of 27x³ - 64?
Back
(3x - 4)(9x² + 12x + 16) is the correct factorization.
4.
FLASHCARD QUESTION
Front
How do you factor the expression 3x² + 18x + 15?
Back
First, factor out the GCF: 3(x² + 6x + 5), then factor completely: 3(x + 5)(x + 1).
5.
FLASHCARD QUESTION
Front
What is the factored form of x² - 400?
Back
(x - 20)(x + 20) is the correct factorization.
6.
FLASHCARD QUESTION
Front
How many terms will there be in the product of (3x^4 - 2x^3 + x - 7)(6x^2 - 4x + 1) before combining like terms?
Back
There will be 12 terms in the product.
7.
FLASHCARD QUESTION
Front
What is the difference of squares?
Back
A difference of squares is an expression of the form a² - b², which can be factored as (a - b)(a + b).
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