Question

Determine the value of 'a' if (x-a) is a factor of the polynomial x^3-(a^2-1)x+2.

Answer 1

Answer:

a = -2

Step-by-step explanation:

x³ - (a² - 1)x + 2

x - a is a factor.

x - a = 0

x = a

0 = (a)³ - (a² - 1)a + 2

0 = a³ - a³ + a + 2

a + 2 = 0

∴ a = -2

Hope it helps! :)

If it does help you then please mark as brainliest!

Answer 2

a^3 -( a ^2 - 1 ) a + 2 = 0

a^3 - a ^3 - a + 2 = 0

- a + 2 = 0

-a = - 2


a = 2

I hope it will help u ✌✌