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?

• Add all coefficients

• Identify the smallest term

• Determine the GCF of the coefficients

• Multiply all terms

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

• 6

• Y squared

• X cubed

• X

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

• 1

• 3

• 6

• 12

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

• Choose the smallest power

• Choose the average power

• Choose the highest power

• Choose the middle power

What is the smallest power of X in the given polynomial?

• X squared

• X cubed

• X to the fourth

• X

What is the smallest power of Y in the given polynomial?

• Y cubed

• Y to the fourth

• Y squared

• Y

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

• X Y

• X squared Y

• X cubed Y cubed

• X Y squared

What is the complete GCF of the polynomial?

• 3X squared Y

• 12X Y squared

• 3X Y squared

• 6X Y

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

• X cubed Y

• 3X Y

• 2X Y

• 4X squared Y squared

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

• Minus 3X

• Minus 2X squared

• Minus 2X Y

• Minus X Y squared