Answer:
Step-by-step explanation:
P(x) = x⁴+ ax² - 16
When divided by (x + 1) , the remainder is -14.
x + 1 = 0
x = -1
P(-1) = -14
(-1)⁴ + a (-1)² - 16 = -14
1 + a - 16 = -14
a - 15 = - 14 {add 15 to both sides}
a = -14 + 15
a = 1
Now, P(x) = x⁴+ 1x² - 16
x - 2 = 0
x = 2
P(2) = (2)⁴ + (2)² - 16
= 16 + 4 - 16
= 4
Remainder is 4
