AA-Factoring Polynomials
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is factoring in polynomials?
Back
Factoring is the process of breaking down a polynomial into simpler components (factors) that, when multiplied together, give the original polynomial.
2.
FLASHCARD QUESTION
Front
What is the Greatest Common Factor (GCF)?
Back
The GCF is the largest factor that divides all the terms of a polynomial without leaving a remainder.
3.
FLASHCARD QUESTION
Front
How do you factor a quadratic polynomial of the form ax^2 + bx + c?
Back
To factor a quadratic polynomial, find two numbers that multiply to ac (the product of a and c) and add to b. Then, rewrite the polynomial using these numbers.
4.
FLASHCARD QUESTION
Front
What is the difference of squares?
Back
The difference of squares is a special factoring pattern that states a^2 - b^2 = (a + b)(a - b).
5.
FLASHCARD QUESTION
Front
Factor the polynomial: 2x^2 + 2x - 12
Back
2(x + 3)(x - 2)
6.
FLASHCARD QUESTION
Front
What is a polynomial?
Back
A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.
7.
FLASHCARD QUESTION
Front
How do you identify the GCF of the polynomial 12t^3 + 30t^2 + 48t?
Back
The GCF is found by identifying the highest power of each variable and the largest coefficient common to all terms. For this polynomial, the GCF is 6t.
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