Factoring Polynomials with the GCF

The video tutorial covers the concepts of prime and composite numbers, explaining how to perform prime factorization and find the greatest common factor (GCF). It demonstrates the process of factoring polynomials using the GCF and simplifying expressions by eliminating common factors. The tutorial concludes with a practical application of these concepts in solving a word problem involving polynomials.

Which of the following is a prime number?

• 25

• 21

• 17

• 15

Tags

CCSS.4.OA.B.4

What is the prime factorization of 120?

• 2 * 2 * 3 * 5

• 2 * 2 * 2 * 3 * 5

• 2 * 2 * 2 * 5

• 2 * 3 * 4 * 5

Which of the following numbers is divisible by 3?

• 120

• 924

• 77

• 231

Tags

CCSS.4.OA.B.4

How do you determine the greatest common factor of two expressions?

• By finding the common prime factors

• By multiplying the expressions

• By adding the expressions

• By subtracting the expressions

What is the greatest common factor of 2^2 * 3 * 7 * 11 and 2^3 * 3 * 5?

• 2 * 3 * 5

• 2^3 * 3

• 2^2 * 3 * 7

• 2^2 * 3

What is the first step in factoring a polynomial?

• Identifying the greatest common factor

• Adding the terms

• Multiplying the terms

• Simplifying the expression

What is the greatest common factor of 6x^3 and 8x^2?

• 4x^2

• 4x

• 2x^2

• 2x

When simplifying expressions, what usually happens to the common factor?

• It is subtracted

• It is canceled out

• It is added

• It is multiplied

Tags

CCSS.7.EE.A.1

What is the simplified form of the expression (3p + 3) / 3?

• 3p + 3

• p + 1

• p + 3

• 3p + 1

Tags

CCSS.6.EE.A.3

In the word problem, what is the greatest common factor of the coefficients -16, 17, and 12?

• 2

• 5

• 3

• 4