Factoring

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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14 questions
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1.
FLASHCARD QUESTION
Front
What is factoring in algebra?
Back
Factoring is the process of breaking down an expression into a product of simpler expressions, or factors, that when multiplied together give the original expression.
2.
FLASHCARD QUESTION
Front
What is the factored form of a quadratic expression?
Back
The factored form of a quadratic expression is typically written as (ax + b)(cx + d), where a, b, c, and d are constants.
3.
FLASHCARD QUESTION
Front
How do you factor a quadratic expression of the form ax^2 + bx + c?
Back
To factor a quadratic expression of the form ax^2 + bx + c, look for two numbers that multiply to ac (the product of a and c) and add to b. Then, rewrite the expression using these numbers to group and factor.
4.
FLASHCARD QUESTION
Front
What is the difference of squares formula?
Back
The difference of squares formula states that a^2 - b^2 = (a + b)(a - b).
Tags
CCSS.HSA.APR.C.4
5.
FLASHCARD QUESTION
Front
What is the sum of squares formula?
Back
The sum of squares cannot be factored over the real numbers, but it can be expressed as a product of complex numbers: a^2 + b^2 = (a + bi)(a - bi).
6.
FLASHCARD QUESTION
Front
What is a common factor?
Back
A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.
7.
FLASHCARD QUESTION
Front
How do you factor by grouping?
Back
To factor by grouping, divide the expression into groups, factor out the common factor from each group, and then factor out the common binomial factor.
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