Factoring Quadratic Expressions Quiz

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

• 21

• 3

• 12

• 63

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

• -1 and 21

• -3 and 7

• -21 and 1

• -7 and 3

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

• x

• 2x

• 2

• 4x

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

• -2 and 12

• -8 and 3

• -4 and 6

• -6 and 4

What is the result of factoring 2x(x^2 - 10x + 24)?

• 2x(x + 3)(x + 8)

• 2x(x - 4)(x - 6)

• 2x(x - 3)(x - 8)

• 2x(x + 4)(x + 6)

What should be factored out when the leading term is negative?

• A variable

• Zero

• A negative number

• A positive number

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

• -14 and 3

• -21 and 2

• -7 and 6

• -1 and 42

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

• x + 6 and x - 7

• x - 6 and x + 7

• x + 7 and x - 6

• x - 7 and x + 6

Why is it important to consider both positive and negative factors?

• To find the greatest common factor

• To avoid errors in addition

• To ensure all possibilities are considered

• To simplify the expression

What is the benefit of factoring out a negative one?

• It makes the expression positive

• It eliminates the variable

• It changes the signs of the terms

• It simplifies the expression