If f (x) = x^3-5x^2+kx-3 and f (3) = -15, find k

The answer to your question is: K = 12

Step-by-step 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

Step-by-step explanation:

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