3 years ago

If f(x) = x^3 – 2x^2, which expression is equivalent to f(i)?

Mathematics

1 answer:

MrRissso [65]3 years ago

5 0

Answer:

2 - i

Step-by-step explanation:

If i in the expression f(i) is an imaginary number, then

f(i) = i^3 - 2 i^2 = -i - 2*(-1) = 2 - i

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$\text{Hey there!}\\\\\\\text{In order for you to solve this equation you need to distribute}\\\text{-6(-k) = 6k \& -6(4) = -24}\\\\\text{New equation: 19 + 6k + (-24)}\\\\\text{Combine your like terms (if there is any)}\\\text{(6k(19+(-24)))}\\\text{Your like terms are: 19 + (-24) = -5}$

$\text{Your new equation is: 6k + (-5)}\\\\\text{+ \& - = -}\text{\underline{ (positive \& negative equals negative)}}\\\\\text{The number in the center will be a negative}\\\\\boxed{\boxed{\text{Answer: 6k - 5}}}\checkmark\\\\\\\\\\\text{Good luck on your assignment and enjoy your day!}\\\\\frak{LoveYourselfFirst:)}$