Question

If x - 2 is a factor of x5 – 2ax3 + a2x - 2. then sum of values of 'a' is​

Answer 1

Answer:

Question:-

If x - 2 is a factor of x5 – 2ax3 + a2x - 2. then sum of values of 'a' is

Solution:-

x-2 is a factor, so x = 2 is a root.

so, 2^5 - 2a(2)³ + a² (2) - 2 = 0

32 - 16a + 2a² - 2 = 0

2a² - 16a + 30 = 0

a²-8a + 15 = 0

a²-5a - 3a + 15 = 0

a(a-5)-3(a-5) = 0

(a-5)(a-3) = 0

either a = 5 or a = 3

Step-by-step explanation:

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