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Remainder / Factor Theorem (Level 2)

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Given f(z) = 32³ + ke-13, and the remainder when f(x) is divided by 2 - 3 is 95, then
what is the value of k?
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Oct 23
7:53
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Answer 1

To find the value of k, you need to use the Remainder Theorem. The Remainder Theorem states that when a polynomial is divided by (x - a), the remainder is equal to the value of the polynomial at x = a.

In this case, f(x) is divided by (2 - 3), which is -1. So, you have:

f(-1) = 95

Now, plug this into the given equation:

32³ + ke^(-13) = 95

Solve for k:

k = 95 - 32³ * e^(-13)

You'll need to calculate the value of k using the equation above to find its value. Without specific numerical values for 32³ and e^(-13), you won't be able to determine the exact value of k.