8
QuizMultiple Choice

Factoring Trinomials: a > 1

Question 8 • FL-1200700-Mathematics for College Algebra MIS

Which statement is true about the prime polynomial 2x2 + 3x + 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 model would split the polynomial into two polynomial side lengths, so its area would be a factorization. Since 2x² + 3x + 3 is prime, it has no such factorization, and it cannot be modeled with a rectangle. Its positive coefficients do allow all positive tiles, so choice C is not true.

AI-written and checked against the verified answer.

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