Factoring with Greatest Common Monomial Factor

This video tutorial covers the concept of factoring polynomials using the greatest common monomial factor (GCF). It provides step-by-step examples to demonstrate how to identify and apply the GCF to factor various polynomial expressions. The tutorial includes multiple examples, ranging from simple to complex expressions, to ensure a comprehensive understanding of the topic. The video concludes with a summary of the key points discussed.

What is the greatest common factor of 24 and 18 in the expression 24 + 18x?

• 3

• 6

• 12

• 18

In the expression 30a + 80b, what is the factored form?

• 10(3a + 8b)

• 15(2a + 5b)

• 5(6a + 16b)

• 20(1.5a + 4b)

For the expression 7xy + 28xy, what is the greatest common factor?

• 1

• 28xy

• 7xy

• xy

In the expression 36x^3y^6 - 63x^5y^7, what is the GCF of the coefficients?

• 3

• 6

• 9

• 12

What is the factored form of 6x^2 + 9x^3 - 18x^5?

• 3x^2(2 + 3x - 6x^3)

• x^2(6 + 9x - 18x^3)

• 3x(2x + 3x^2 - 6x^4)

• 3x^2(2 + 3x - 6x^3)

In the expression 15p^3 - 12p + 21, what is the greatest common factor?

• 3

• 6

• 12

• 9

What is the factored form of 15p^3 - 12p + 21?

• 5(3p^3 - 4p + 7)

• 3(5p^3 - 12p + 7)

• 3(5p^3 - 4p + 7)

• 3(5p^3 - 4p + 21)

In the expression 52x^4y^3 + 39x^5y^2 + 65x^2y^7, what is the GCF of the coefficients?

• 26

• 39

• 13

• 52

What is the GCF of the variables in the expression 52x^4y^3 + 39x^5y^2 + 65x^2y^7?

• x^5y^5

• x^4y^4

• x^3y^3

• x^2y^2

What is the factored form of 52x^4y^3 + 39x^5y^2 + 65x^2y^7?

• 13x^2y^2(4x^2y + 3x^3 + 5y^5)

• 13x^2y^2(4x^2y + 3x^3 + 5y^5)

• 13x^2y^2(4x^2y + 3x^3 + 5y^5)

• 13x^2y^2(4x^2y + 3x^3 + 5y^5)