According to the Rational Root Theorem, the following are potential roots of f(x) = 60x2 – 57x – 18. -6/5, -1/4, 3, 6 Which is a

Question

Andrej [43]

2 years ago

6

According to the Rational Root Theorem, the following are potential roots of f(x) = 60x2 – 57x – 18. -6/5, -1/4, 3, 6 Which is a

n actual root of f(x)?

Mathematics

2 answers:

lidiya [134] · Answer 1 · 2023-08-18T00:18:18+03:00

lidiya [134]2 years ago

8 0

Answer:

B. -1/4

Step-by-step explanation:

got it right on quiz

taurus [48] · Answer 2 · 2023-08-17T23:14:10+03:00

As for Rational Root Theorem, we substitute the given choices in the equation and if the value of f(x) is equal to 0 then, the certain choice is a root of the equation.

(1) -6/5 : f(x) = 60(-6/5)^2 - 57(-6/5) - 18 = 136.8
(2) -1/4: f(x) = 60(-1/4)^2 - 57(-1/4) - 18 = 0
(3) 3: f(x) = 60(3)^2 - 57(3) - 18 = 351
(4) 6: f(x) = 60(6)^2 -57(6) - 18 = 1800

Thus, the answer is the second choice.