Factoring Polynomials and GCF

The video tutorial explains how to factor out the greatest common factor (GCF) from a polynomial. It begins by identifying the GCF of the coefficients, followed by determining the smallest power of common variable factors. The GCF is then used to factor the polynomial, resulting in a simplified expression.

What is the first step in factoring out the GCF from a polynomial?

• Multiply all terms

• Add all coefficients

• Determine the GCF of the coefficients

• Identify the smallest term

Which of the following is a coefficient in the given polynomial?

• X cubed

• X

• Y squared

• 6

What is the GCF of the coefficients 3, 6, and 12?

• 1

• 12

• 3

• 6

How do you determine the smallest power of a variable in a polynomial?

• Choose the smallest power

• Choose the middle power

• Choose any power

• Choose the highest power

Which variable power is used for X in the GCF?

• X cubed

• X squared

• X

• X to the fourth

What is the GCF of the polynomial in terms of variables?

• X cubed Y

• X Y squared

• X squared Y cubed

• X Y

What is the complete GCF of the polynomial?

• 6X Y

• 3X Y squared

• 3X squared Y

• 12X Y squared

What is the result of dividing the first term by the GCF?

• 3X Y

• X squared Y

• 2X Y

• 4X squared Y squared

What is the result of dividing the second term by the GCF?

• Minus 3X Y

• Minus X squared Y

• Minus 2X Y

• Minus 4X squared Y squared

What is the result of dividing the last term by the GCF?

• Minus 1

• 0

• Minus 2

• 1