Flashcard Factoring a=1
Flashcard
•
Mathematics
•
11th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the process of factoring a quadratic expression?
Back
Factoring a quadratic expression involves rewriting it as a product of two binomials. This is often done by finding two numbers that multiply to the constant term and add to the coefficient of the linear term.
2.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
3.
FLASHCARD QUESTION
Front
What does it mean for a quadratic to be factored completely?
Back
A quadratic is factored completely when it is expressed as a product of irreducible factors, meaning it cannot be factored further over the set of real numbers.
4.
FLASHCARD QUESTION
Front
What is the GCF (Greatest Common Factor) and how is it used in factoring?
Back
The GCF is the largest factor that divides all terms in a polynomial. It is factored out first to simplify the expression before further factoring.
5.
FLASHCARD QUESTION
Front
How do you factor the expression x² - 6x - 16?
Back
To factor x² - 6x - 16, find two numbers that multiply to -16 and add to -6. The factors are (x - 8)(x + 2).
6.
FLASHCARD QUESTION
Front
What are the steps to factor a quadratic expression?
Back
1. Identify the coefficients a, b, and c. 2. Find two numbers that multiply to ac and add to b. 3. Rewrite the middle term using these numbers. 4. Factor by grouping.
7.
FLASHCARD QUESTION
Front
What is the factored form of x² + x - 30?
Back
The factored form is (x + 6)(x - 5).
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