Algebra 8.5: Distributive Property and Factoring

What is the greatest common factor of 60 and 75?

• 20

• 15

• 10

• 5

When factoring the polynomial 5x^3 + 10x^2 + 25x, what is the greatest common factor?

• 5x

• x

• 25x

• 10x

Which method is used to factor polynomials with four terms?

• Factor by grouping

• Factor by division

• Factor by substitution

• Factor by elimination

In the expression (x + 4)(x + 2), what is the result of factoring by grouping?

• x^2 + 4x + 4

• x^2 + 6x + 8

• x^2 + 8x + 16

• x^2 + 2x + 4

What does the zero product property state?

• If a product is zero, one or both factors must be zero

• If a product is zero, the factors are negative

• If a product is zero, the factors are equal

• If a product is zero, both factors must be non-zero

Solve for x: x(x - 32) = 0

• x = 0 or x = 16

• x = 32 or x = -32

• x = 0 or x = -32

• x = 0 or x = 32

What are the solutions for y in the equation (y - 3)(y + 2) = 0?

• y = -3 or y = 2

• y = 3 or y = 2

• y = -3 or y = -2

• y = 3 or y = -2

How do you solve 2y + 5 = 0 for y?

• y = -5/2

• y = 5/2

• y = -2/5

• y = 2/5

What is the solution for z in the equation 2z^2 + 20z = 0?

• z = 0 or z = 5

• z = 10 or z = -10

• z = 0 or z = 10

• z = 0 or z = -10

In the equation 9x^2 = 27x, what are the solutions for x?

• x = 0 or x = 3

• x = 0 or x = -3

• x = 3 or x = -3

• x = 0 or x = 9