6
QuizMultiple Choice

Quadratic Functions and Complex Numbers — Test

Question 6 • Mathematics II

According to the Rational Root Theorem, which is a factor of the polynomial f of x is equal to 3 x cubed minus 5 x squared minus 12 x plus 20 ?

Answer
A
2 x minus 1
B
2 x plus 1
C
3 x plus 5
D
3 x minus 5

Explanation

By the Rational Root Theorem, possible rational roots have the form p/q, where p divides 20 and q divides 3. The factor 3x − 5 would give the root x = 5/3. Substituting, f(5/3) = 0, so 3x − 5 is a factor. The correct choice is D, 3x − 5.

AI-written and checked against the verified answer.

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