Factoring Polynomials
Flashcard
•
Mathematics
•
10th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is factoring in mathematics?
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 a polynomial?
Back
A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.
3.
FLASHCARD QUESTION
Front
What is the standard form of a polynomial?
Back
The standard form of a polynomial is written in descending order of the degree of its terms, typically expressed as a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0.
4.
FLASHCARD QUESTION
Front
What does it mean to factor by grouping?
Back
Factoring by grouping involves rearranging and grouping terms in a polynomial to factor out common factors from each group.
5.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is used to find the roots of a quadratic equation and is given by x = (-b ± √(b² - 4ac)) / (2a).
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
How do you factor a trinomial of the form ax² + bx + c?
Back
To factor a trinomial of the form ax² + bx + c, look for two numbers that multiply to ac and add to b, then rewrite the middle term and factor by grouping.
7.
FLASHCARD QUESTION
Front
What are the factors of x² - 9?
Back
The factors of x² - 9 are (x - 3)(x + 3), which is a difference of squares.
Tags
CCSS.HSA.APR.C.4
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