Question

Someone please help me answer this math question. (Picture above)

Answer 1

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