How do you factor a trinomial of the form $$ax^2 + bx + c$$ ?

To factor a trinomial, find two numbers that multiply to $$ac$$ and add to $$b$$ , then rewrite the middle term and factor by grouping.

What is the formula for factoring a difference of cubes?

The difference of cubes can be factored using the formula: $$a^3 - b^3 = (a - b)(a^2 + ab + b^2)$$ .

How do you factor the polynomial $$9x^2 - 1$$ ?

$$9x^2 - 1 = (3x - 1)(3x + 1)$$ , using the difference of squares.

What is the factored form of $$25n^2 - 1$$ ?

$$25n^2 - 1 = (5n - 1)(5n + 1)$$ , using the difference of squares.

How do you factor the polynomial $$8x^3 - 27$$ ?

$$8x^3 - 27 = (2x - 3)(4x^2 + 6x + 9)$$ , using the difference of cubes.

What is the factored form of $$121b^2 - 9$$ ?

$$121b^2 - 9 = (11b - 3)(11b + 3)$$ , using the difference of squares.

What is the first step in factoring a polynomial?

The first step in factoring a polynomial is to look for the Greatest Common Factor (GCF) among the terms.

A binomial is a polynomial that contains exactly two terms, such as $$a + b$$ or $$x^2 - 4$$ .

What is a polynomial?

A polynomial is an expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Factoring Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is Factoring?

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 Greatest Common Factor (GCF)?

Back

The GCF of two or more terms is the largest factor that divides each of the terms without leaving a remainder.

3.

FLASHCARD QUESTION

Front

How do you factor by grouping?

Back

To factor by grouping, you group terms with common factors, factor out the GCF from each group, and then factor out the common binomial factor.

4.

FLASHCARD QUESTION

Front

What is the difference of two squares?

Back

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