Question

Evaluate the expression \[n^3+5n^2+5n-2\] n = −2.

Options

• 8

• 0

• 2

• −8

Answer 1

0

Explanation:

Substitute n = -2:

\[n^3=(-2)^3=-8\]

\[5n^2=5(-2)^2=5\times4=20\]

\[5n=5(-2)=-10\]

Now add all terms:

−8 + 20 − 10 −2

= 12 − 10 − 2

= 2 − 2 = 0