Answer:

D. -5

Step-by-step explanation:

x⁴ + 3x³ + x² - 1; x = -2

(-2)⁴ + 3(-2)³ + (-2)² - 1

16 + 3(-8) + 4 - 1 [(-2 × -2 × -2 × -2 = 16), (-2 × -2 × -2 = -8)]

16 - 24 + 4 - 1

-8 + 4 - 1

-4 - 1

-5

So, the value of this polynomial if x = -2 is equal to -5.

I hope this helps.