Factoring and Greatest Common Factors

This video tutorial from YourTeacher.com introduces a factoring problem that cannot be solved using a greatest common factor or as a trinomial. Instead, it demonstrates how to factor by grouping terms. The process involves grouping terms, factoring out the greatest common factor from each group, and then solving the problem using the factored terms.

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Why can't the given problem be factored using the greatest common factor?

• It is a linear equation

• It is a quadratic equation

• There is no common factor for all terms

• It is already simplified

What method is introduced to factor the problem?

• Synthetic division

• Completing the square

• Using the quadratic formula

• Factoring by grouping

What is the greatest common factor of the first group of terms, X cubed - 2x^2?

• X^3

• X

• 2X

• X^2

What is the greatest common factor of the second group of terms, POS 4x - 8?

• 2

• 4

• X

• 8

After factoring by grouping, what expression is left inside the parentheses?

• X + 2

• X^2 - 4

• X - 2

• X^2 + 4

What is the final factored form of the expression?

• (X - 2)(X^2 + 4)

• (X + 2)(X^2 - 4)

• (X - 4)(X^2 + 2)

• (X + 4)(X^2 - 2)

What is the purpose of factoring by grouping in this problem?

• To simplify the expression

• To find the roots of the equation

• To eliminate variables

• To rewrite the expression as a product of binomials