Question

Find the value of a if (x-a) is a factor of polynomial x3-(a2_1) x+2

Answer 1

Answer:

a = -2

Step-by-step explanation:

Given, (x-a) is a factor of polynomial x³ - (a² - 1)x + 2.

Therefore, x - a = 0 => x = a

In polynomial x³ - (a² - 1)x + 2,

x³ - (a² - 1)x + 2 = 0

=> a³ - (a² - 1)a + 2 = 0

=> a³ - a³ + a + 2 = 0

=> a + 2 = 0

=> a = - 2

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Answer 2

Answer:

a = -2

Step-by-step explanation:

Given, (x-a) is a factor of polynomial x³ - (a² - 1)x + 2.

Therefore, x - a = 0

=> x = a

In polynomial x³ - (a² - 1)x + 2,

x³ - (a² - 1)x + 2 = 0

=> a³ - (a² - 1)a + 2 = 0

=> a³ - a³ + a + 2 = 0

=> a + 2 = 0

=> a = - 2

Hope it helped.

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