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