Factoring Quadratics: Key Concepts and Techniques

What property is used to simplify expressions without an equal sign?

• Commutative property

• Distributive property

• Associative property

• Identity property

Tags

CCSS.6.EE.A.3

What does GCF stand for?

• Greatest Calculated Figure

• Geometric Cubic Formula

• General Calculus Function

• Greatest Common Factor

What does the term 'GCF' help identify in factoring?

• The largest number that divides evenly into all terms

• The highest degree of a polynomial

• The smallest number that multiplies with another to get the term

• The lowest common multiple of terms

How do you determine the GCF of a set of terms?

• By multiplying the terms together

• By finding the smallest degree of the variable common to all terms

• By dividing each term by the smallest coefficient

• By adding the coefficients

What is required for a pair of terms to be considered a difference of two squares?

• Both terms must be prime numbers

• Both terms must be perfect squares

• Both terms must be even

• Both terms must be odd

Tags

CCSS.HSA.APR.C.4

What is the significance of the term 'conjugates' in factoring?

• They indicate terms that cancel each other out

• They help identify perfect squares

• They are used exclusively in the Bottoms Up method

• They are used to find the GCF

What is a key characteristic of perfect squares?

• They cannot be factored

• They are prime numbers

• They have even exponents

• They are always odd numbers

Tags

CCSS.HSA.APR.C.4

What is the first step in the Big X method?

• Find the GCF

• Subtract b from a

• Multiply a and c

• Add a and c

Tags

CCSS.HSA-REI.B.4B

In the Bottoms Up method, what do you do if the division does not simplify?

• Subtract the number from the variable

• Multiply the numbers instead

• Leave the expression as is

• The number comes up in front of the variable

Tags

CCSS.HSA.APR.D.7

What is the purpose of the Big X method?

• To find the difference of two squares

• To simplify expressions using the distributive property

• To identify the GCF

• To factor trinomials