Answer:
The answer to your question is: K = 12
Explanation:
Data
f(x) = x³ - 5x² + kx - 3
f(3)=-15, find k
Process
15 = (3)³ - 5(3)² + k(3) - 3 Substitution
15 = 27 - 45 + 3k -3 Simplify
15 = -21 + 3k
15 + 21 = 3k
3k = 36
k = 36 / 3
k = 12 result
f(x)=x^3-5x^2+kx-3
f(3) = 3^3 - 5×3^2 + k×3 -3
=27 - 5×9 +3k - 3
=24 -45 + 3k
-15 =- 21 + 3k
-15 + 21 = 3k
6 = 3k
divide both by 3
k = 2
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