What exactly is factoring a polynomial

The video tutorial introduces the concept of factoring, starting with simple examples involving monomials and moving towards more complex examples with binomials and polynomials. The teacher explains the process of identifying the greatest common factor (GCF) and demonstrates how to factor expressions by dividing out the GCF. The tutorial includes interactive elements, asking students to identify factors and solve problems. The session concludes with an advanced example, encouraging students to practice independently.

What is the process of rewriting an expression as a product of its factors called?

• Dividing

• Adding

• Factoring

• Multiplying

What does GCF stand for in the context of factoring?

• Greatest Common Fraction

• Greatest Common Formula

• Greatest Common Factor

• Greatest Common Function

Which number is the GCF of 3 and 9X?

• 3

• 9

• X

• 1

If you divide 8 by 4, what is the quotient?

• 1

• 8

• 4

• 2

What is the highest power of X that can divide into X^2 and X?

• 0

• 1

• X

• X^2

In the expression 8M^4 + 6M^3 - 12M^2, what should you do first to factor it?

• Subtract all terms

• Multiply all terms

• Find the GCF

• Add all terms

What is the result of factoring out the GCF from 8M^4 + 6M^3 - 12M^2?

• 8M^4 + 6M^3 - 12M^2

• 2M^2(4M^2 + 3M - 6)

• 4M^2(2M^2 + 1.5M - 3)

• M^2(8M^2 + 6M - 12)