# On dividing p(x) = x4 – 3ax2 - 1 by (x – 2), we get a remainder 3. Find the value of a.

To Find: a

Given: p(x) = x4 – 3ax2 - 1 is divided by (x – 2)

Concept Used:

If a polynomial p(x) is divided by (x – k), then p(k) is the remainder we get when p(x) will be divided by (x – k)

Explanation:

P(2) = (2)4 – 3a(2)2 – 1

P(2) = 16 – 12a – 1

P(2) = 3

Therefore,

16 – 12a – 1 = 3

15 – 12a = 3

–12a = 3 – 15

–12a = –12

a = 1

Hence, the value of a is 1.

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