Explain the process of factoring a polynomial.

To factor a polynomial, find the greatest common factor (GCF) and then express the polynomial as a product of its factors.

What is the difference of cubes formula?

$$a^3 - b^3 = (a - b)(a^2 + ab + b^2)$$ .

What is the sum of cubes formula?

$$a^3 + b^3 = (a + b)(a^2 - ab + b^2)$$ .

How do you find the LCM using prime factorization?

List the prime factors of each number, take the highest power of each prime, and multiply them together.

How do you find the GCF using prime factorization?

List the prime factors of each number, take the lowest power of each common prime, and multiply them together.

What is the standard form of a polynomial?

A polynomial is in standard form when its terms are written in descending order of their degree.

What is a polynomial?

An expression consisting of variables raised to whole number powers and coefficients.

What is the degree of a polynomial?

The highest power of the variable in the polynomial.

Alg II Chapter 4 Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

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2.

FLASHCARD QUESTION

Front

Find the LCM of 315 and 882.

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Find the GCF of 315 and 882.

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the definition of LCM (Least Common Multiple)?

Back

The smallest multiple that is exactly divisible by two or more numbers.

7.

FLASHCARD QUESTION

Front

What is the definition of GCF (Greatest Common Factor)?

Back

The largest factor that two or more numbers have in common.

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