←
Analyzing Various Quadratic Expressions

8.10.1 Analyzing Various Quadratic Expressions

8.10.1 • Analyzing Various Quadratic Expressions

Warm Up

1.

Examine the four expressions below. Which one doesn't belong?

A. ( x + 4 ) ( x − 3 ) ( x + 4 ) ( x − 3 )

B. 3 x 2 − 8 x + 5 3 x 2 − 8 x + 5

C. x 2 − 25 x 2 − 25

D. x 2 + 2 x + 3 x 2 + 2 x + 3

A table displaying various algebraic expressions, labeled A through D, for mathematical study.

There are many possible answers for which equation does not belong in a group with the others. Determine which equation you think should be eliminated and explain your reasoning.

Compare your answer:

Equation A: The only expression that is not in standard form. Or, when written in standard form, it is the only one that has an even number for the constant term.

Equation B: The only expression in standard form that has a leading coefficient other than 1.

Equation C: The only expression in standard form that doesn't have three terms. It is the only one without a linear term.

Equation D: The only expression in standard form that can't be written in factored form. It is prime.