Question 8
Find all zeros of the function $f (x) = 8 x^{3} - 42 x^{2} + 67 x - 30$ . Enter the zeros separated by commas.
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Final Answer: The zeros of the function are $2.5, 2, 0.75$ .

Steps

Step 1 ：Set the function equal to zero: $8 x^{3} - 42 x^{2} + 67 x - 30 = 0$ .

Step 2 ：This is a cubic equation, so it might have up to three real roots.

Step 3 ：The roots of the function are the values of x for which the function equals zero.

Step 4 ：Calculate the roots of the function.

Step 5 ：The roots of the function are 2.5, 2, and 0.75.

Step 6 ：Final Answer: The zeros of the function are $2.5, 2, 0.75$ .