Factoring Quadratic Expressions Quiz

What is the greatest common factor of the expression 3x^2 + 12x - 63?

• 21

• 12

• 3

• 63

In the expression 3x^2 + 12x - 63, what is the result of factoring out the greatest common factor?

• x^2 + 4x - 21

• x^2 + 12x - 63

• 3(x^2 + 4x - 21)

• 3x(x + 4 - 21)

Which pair of factors of -21 adds up to 4?

• -7 and 3

• -1 and 21

• -3 and 7

• -21 and 1

What is the common factor in the expression 2x^3 - 20x^2 + 48x?

• x

• 2x

• 2

• 4x

After factoring out 2x from 2x^3 - 20x^2 + 48x, what is the expression inside the parenthesis?

• 2x^3 - 20x^2 + 48x

• x^3 - 10x^2 + 24x

• 2x^2 - 10x + 24

• x^2 - 10x + 24

Which pair of factors of 24 adds up to -10?

• 6 and 4

• -6 and -4

• -12 and 2

• -8 and -2

What is the final factored form of the expression 2x^3 - 20x^2 + 48x?

• 2x(x + 3)(x + 7)

• 2x(x - 3)(x - 7)

• 2x(x + 4)(x + 6)

• 2x(x - 4)(x - 6)

What should be factored out when the leading term of a quadratic expression is negative?

• The largest factor

• A negative one

• A positive one

• The smallest factor

Which pair of factors of -42 adds up to 1?

• -6 and 7

• -21 and 2

• -7 and 6

• -1 and 42

What is the final factored form of the expression with a negative leading term?

• -x + 7 and x - 6

• -x - 7 and x + 6

• x + 7 and x - 6

• x - 7 and x + 6