Q. 104.3( 9 Votes )

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

Answer :

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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