Factoring a polynomial by using the grouping technique

The video tutorial demonstrates how to factor a polynomial using the grouping technique. It begins by explaining the importance of grouping terms and finding the greatest common factor (GCF) in each group. The tutorial then shows how to factor out these common factors and combine them to achieve the final factored form of the polynomial.

What technique is used to factor a polynomial with four terms?

• Synthetic Division

• Quadratic Formula

• Completing the Square

• Grouping Technique

When applying the grouping technique, what is the first step?

• Find the roots of the polynomial

• Group the first two terms and the last two terms

• Multiply all terms together

• Divide the polynomial by a binomial

What is the greatest common factor (GCF) of the expression X^2 + 8X?

• 8

• X

• X + 8

• 2X

Why is a negative factor sometimes factored out in the grouping technique?

• To eliminate the variable

• To change the sign of a term for consistency

• To make the expression more complex

• To simplify the expression

What is the final factored form of the polynomial after applying the grouping technique?

• (X + Y)(X - 8)

• X^2 + 8X - Y

• (X + 8)(X - Y)

• X^2 - Y^2