5
practice testMultiple Choice

Practice Test

Question 5 • Mathematics II

According to the Rational Root Theorem, the following are potential roots of f of x is equal to 6 x to the 4th power plus 5 x cubed minus 33 x squared minus 12 x plus 20 negative 5 halves , negative 2 , 1 , 10 thirds Which is an actual root of f of x ?

Answer
A
negative 5 halves
B
negative 2
C
10 thirds
D
1

Explanation

Substitute x = −5/2 into f(x). Using a common denominator of 8, the terms add to (1875 − 625 − 1650 + 240 + 160)/8 = 0. Therefore, −5/2 is an actual root, so the correct choice is negative 5 halves.

AI-written and checked against the verified answer.

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