Factoring Quadratic Expressions Quiz

What is the first step in factoring a quadratic expression?

• Check for a leading coefficient

• Identify the product and sum

• Divide by the constant term

• Check for the greatest common factor

Why is a negative common factor sometimes chosen?

• To eliminate the constant term

• To ensure the first term is positive

• To simplify the expression

• To make the first term negative

What is the product in the product-sum method?

• The product of the leading coefficient and the constant term

• The sum of the coefficients

• The difference between the terms

• The sum of the exponents

How do you determine which number should be negative in the product-sum method?

• By checking the sum

• By checking the leading coefficient

• By checking the product

• By checking the constant term

What is the purpose of breaking the middle term in the grouping method?

• To simplify the expression

• To find the greatest common factor

• To create four terms for grouping

• To eliminate the constant term

What should you do if the parentheses are not the same in the grouping method?

• Recalculate the GCF

• Change the signs of the terms

• Ensure the signs inside the parentheses are correct

• Start the process over

In the final example, what is the product of 12 and -2?

• -12

• 12

• 24

• -24

What is the common factor in the expression 12x^2 + 8x?

• 4x

• 8

• 2

• x^2

What is the result of dividing -3x by -1?

• -3x

• 3x

• -x

• x

What is the final step in the grouping method?

• Factor out the common binomial

• Add the terms

• Divide the terms

• Multiply the terms