Question

Given the function f(n) = 5n⁴ + 28n³ + 20n² + 22n - 22, what is the value of f(-5)?

A) 12
B) 11
C) -8
D) -7

Answer 1

To calculate f(-5) for the function f(n), we substitute n with -5 and compute the result step by step. The calculated value of f(-5) is -7, making option D correct.

Step-by-step explanation:

To find the value of f(-5) for the function f(n) = 5n⁴ + 28n³ + 20n² + 22n - 22, we need to substitute n with -5:

f(-5) = 5(-5)⁴ + 28(-5)³ + 20(-5)² + 22(-5) - 22

Calculating each term:

1. 5(-5)⁴ = 5 × 625 = 3125
2. 28(-5)³ = 28 × -125 = -3500
3. 20(-5)² = 20 × 25 = 500
4. 22(-5) = -110
5. -22 = -22

Now, add all the terms together:

3125 - 3500 + 500 - 110 - 22 = -7

Therefore, the value of f(-5) is -7, which corresponds to option D.