Solving Quadratic Equations by Factoring Techniques

What is the greatest common factor (GCF) of 8 and 12?

• 8

• 4

• 2

• 6

If a quadratic equation is set to zero, what can be inferred about the product of its factors?

• All factors are equal

• The equation has no solution

• One of the factors must be zero

• The product is undefined

In the difference of two squares method, what is a correct factorization of x^2 - 36?

• (x + 6)(x + 6)

• (x - 6)(x + 6)

• (x - 6)(x - 6)

• (x + 36)(x - 36)

What values of x satisfy the equation 3x^2 + 18x = 0?

• x = 3, x = -6

• x = 0, x = -6

• x = 0, x = 6

• x = 3, x = 6

For the trinomial x^2 + 14x + 45 = 0, which pair of numbers multiplies to 45 and adds up to 14?

• 6 and 8

• 7 and 7

• 3 and 12

• 5 and 9

What are the solutions for the equation x^2 - 5x = 14?

• x = 7, x = -2

• x = -7, x = -2

• x = 7, x = 2

• x = -7, x = 2

In the equation 2x^2 - 3x - 5 = 0, what is the product of the constant term and the coefficient of x^2?

• -10

• 10

• -15

• 15

Which pair of numbers multiplies to -10 and adds to -3?

• -2 and 5

• 3 and -7

• 5 and -2

• -5 and 2

What is the correct factorization for the equation 5x^2 + 9x + 4 = 0?

• (5x + 4)(x + 1)

• (x + 5)(x + 4)

• (5x + 1)(x + 4)

• (x + 1)(5x + 4)

After factoring 5x^2 + 9x + 4 = 0, what are the solutions for x?

• x = -1, x = -4/5

• x = 1, x = -4/5

• x = 1, x = 4/5

• x = -1, x = 4/5