Factoring Polynomials and GCF

This video tutorial introduces the concept of factoring polynomials by identifying and factoring out the greatest common factor (GCF). It explains the importance of factoring in solving polynomial equations and provides a step-by-step guide to finding the GCF. The tutorial includes examples to illustrate the process, discusses advanced techniques, and addresses factoring with negative coefficients. The video concludes with a summary of the key points covered.

What is the primary goal of this video tutorial?

• To learn how to solve linear equations

• To understand the concept of polynomials

• To learn about quadratic equations

• To factor a polynomial by factoring out the GCF

What does GCF stand for?

• Greatest Common Factor

• Greatest Common Fraction

• Greatest Common Function

• Greatest Common Formula

What is the first step in factoring a polynomial?

• Identify the common factors

• Combine like terms

• Write each term in prime factored form

• Use the distributive property

In the example 6X + 15, what is the GCF?

• 2

• 5

• 6

• 3

What is the factored form of 6X + 15?

• 6(X + 2.5)

• 3(2X + 5)

• 2(3X + 5)

• 15(0.4X + 1)

What is the GCF of the terms 2X^4 and 6X^3?

• X^4

• 2X

• 2X^3

• 6X^3

What is the GCF of the terms 4X, 20XY, and 12XY?

• 2X

• 4XY

• 2XY

• 4X

When the leading coefficient is negative, what should you factor out?

• The smallest term

• The negative GCF

• The positive GCF

• The largest term

What is the factored form of -2X^2 + 4X - 2?

• -2X(X - 2) - 2

• -2X(X - 2) + 2

• -2X(X - 2) - 1

• -2X(X - 2) + 1

What should you do if the terms have nothing in common except for 1 or -1?

• Leave the expression as it is

• Combine like terms

• Factor out 1 or -1

• Factor out the GCF