Math, asked by balvirraj8694, 11 months ago

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

Answers

Answered by richapariya121pe22ey
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

If you find it helpful, please mark it as brainliest.

Answered by Anonymous
0

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.

please mark as brainlist

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