Question

Find the zeros of the function f(x)=x^2+12.1x+33 to the nearest hundredth.

A) -10.67 and -1.23
B) -11.67 and -0.89
C) -10.00 and -2.10
D) -12.00 and -1.10

Answer 1

To find the zeros of the function f(x) = x^2 + 12.1x + 33, solve the quadratic equation x^2 + 12.1x + 33 = 0 using the quadratic formula.

Step-by-step explanation:

To find the zeros of the function f(x) = x^2 + 12.1x + 33, we need to solve the quadratic equation x^2 + 12.1x + 33 = 0.

Using the quadratic formula, x = (-b ± √(b^2 - 4ac)) / (2a), where a = 1, b = 12.1, and c = 33, we can substitute the values and calculate the two possible values of x.

By evaluating the expression, we find that the zeros of the function are approximately -11.67 and -0.89, which corresponds to option B in the answer choices.