4
practice testMultiple Choice

Practice Test

Question 4 • Algebra I

Which polynomial is prime?

Answer
A
x squared plus x plus 1
B
x squared minus x minus 2
C
x squared minus 12 x plus 11
D
x squared plus 2 x minus 8

Explanation

A polynomial is prime if it cannot be factored into lower-degree polynomials with integer coefficients. The other choices factor: B is (x − 2)(x + 1), C is (x − 1)(x − 11), and D is (x + 4)(x − 2). For A, x² + x + 1 has no integer pair whose product is 1 and sum is 1, so it is prime.

AI-written and checked against the verified answer.

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