Factoring and GCF Problems

This video tutorial covers various methods of factoring polynomials, including finding the greatest common factor (GCF), factoring trinomials with different leading coefficients, and using the difference of perfect squares. It also explains factoring by grouping for polynomials with four terms. The video provides step-by-step examples to illustrate each method, helping viewers understand how to apply these techniques to different polynomial expressions.

What is the greatest common factor (GCF) of the expression 6x - 12?

• 2

• 3

• 6

• 12

Which pair of numbers multiplies to 12 and adds to 7?

• 2 and 6

• 3 and 4

• 5 and 2

• 1 and 12

How would you factor the expression x^2 + 2x - 15?

• (x + 3)(x + 5)

• (x - 3)(x - 5)

• (x + 5)(x - 3)

• (x - 5)(x + 3)

What is the first step in factoring the expression 2x^2 - 6x - 56?

• Find two numbers that multiply to -56

• Use the quadratic formula

• Divide by 2

• Factor by grouping

Which numbers multiply to -28 and add to -3 in the expression x^2 - 3x - 28?

• -7 and 4

• 5 and -5

• 6 and -2

• 7 and -4

How do you factor x^2 - 16?

• (x + 8)(x - 8)

• (x + 16)(x - 16)

• (x + 2)(x - 2)

• (x + 4)(x - 4)

What is the result of factoring 3x^2 - 18x + 24 by taking out the GCF?

• 3(x^2 - 6x + 8)

• 3(x^2 - 6x - 8)

• 3(x^2 + 6x - 8)

• 3(x^2 + 6x + 8)

What is the first step in factoring 2x^2 - 5x - 3 when no GCF is present?

• Multiply the leading coefficient by the constant term

• Complete the square

• Use the quadratic formula

• Factor by grouping

Which method is used to factor a polynomial with four terms like 3x^3 - 2x^2 - 12x + 8?

• Synthetic division

• Factoring by grouping

• Difference of squares

• Quadratic formula

What is the GCF of the first two terms in the expression 3x^3 - 2x^2 - 12x + 8?

• x

• x^2

• 3x

• 2x