Factoring Quadratic Expressions

This video tutorial focuses on solving quadratic equations by factoring. It begins with basic examples using the greatest common factor (GCF) and progresses to more complex methods like the difference of squares and factoring trinomials. The tutorial also covers advanced techniques for factoring quadratics with non-unit leading coefficients, providing step-by-step guidance and practice problems to reinforce learning.

What is the first step in solving the equation 3x^2 - 9x = 0 by factoring?

• Divide both sides by 3

• Factor out the greatest common factor

• Add 9 to both sides

• Subtract 3 from both sides

What is the result of factoring 5x^2 - 20x?

• 5(x - 4)

• 5x(x - 4)

• x(x - 4)

• 5x(x + 4)

When factoring x^2 - 16 = 0, what are the two factors?

• (x + 4)(x + 4)

• (x - 4)(x + 4)

• (x - 8)(x + 2)

• (x - 2)(x + 8)

How do you factor x^2 - 49?

• (x - 7)(x - 7)

• (x - 7)(x + 7)

• (x - 49)(x + 1)

• (x + 7)(x + 7)

Which pair of numbers multiplies to 15 and adds to 8 in the trinomial x^2 + 8x + 15?

• 6 and 1

• 5 and 3

• 4 and 4

• 7 and 2

Which numbers multiply to -40 and add to -3 in the trinomial x^2 - 3x - 40?

• 10 and -4

• -8 and 5

• 8 and -5

• -10 and 4

What is the GCF of the trinomial 2x^2 - 8x - 42?

• 8

• 6

• 2

• 4

In the equation 2x^2 + x - 6 = 0, what is the product of the leading coefficient and the constant term?

• 6

• 12

• -12

• -6

What is the first step in factoring 6x^2 - 11x - 35?

• Divide by 6

• Find the GCF

• Multiply the leading coefficient by the constant term

• Add 11 to both sides

What is the correct factorization of 2x^2 + x - 6?

• (2x - 3)(x + 2)

• (2x + 3)(x - 2)

• (2x - 2)(x + 3)

• (2x + 2)(x - 3)