What is the difference of squares?

The difference of squares is a special factoring case where $$a^2 - b^2 = (a - b)(a + b)$$ .

What is a polynomial?

A polynomial is an algebraic expression that consists of variables, coefficients, and non-negative integer exponents.

What is the zero-product property?

The zero-product property states that if $$ab = 0$$ , then either $$a = 0$$ or $$b = 0$$ .

What is the leading coefficient in a polynomial?

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

What does it mean to simplify an expression?

To simplify an expression means to reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.

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

What is the purpose of factoring in solving equations?

Factoring helps to find the roots or solutions of polynomial equations by setting each factor equal to zero.

Algebra - Chapter 4 Factoring Flashcard Flashcards

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15 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 equation?

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What is the result of multiplying two binomials?

Back

The result is a polynomial, which can be simplified by combining like terms.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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