10
QuizMultiple Choice

Factoring Trinomials: a > 1 — Quiz

Question 10 • Algebra I

Which statement is true about the prime polynomial 2 x squared plus 3 x plus 3 ?

Answer
A
It cannot be modeled with a rectangle.
B
It can be modeled with a square.
C
It cannot be modeled with all positive tiles.
D
It can only be modeled with an odd number of tiles.

Explanation

A rectangular tile model would correspond to factoring the polynomial into two binomials. The possible factor pairs for the leading term 2x² and constant term 3 give middle terms of 5x or 7x, not 3x, so 2x² + 3x + 3 cannot be factored that way. Thus, it cannot be modeled with a rectangle. Its terms are all positive, so it can be made from positive tiles; choice C is not true.

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