5. On dividing p(x) = 5x4 – 4x3 + 3x2 – 2x + 1 by g(x) = x2 + 2, if quotient q(x) = ax2 + bx + C,
find a, b and c
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Given : p(x) =
g(x) = x²+2
To find : a, b and c
Solution :
On dividing p(x) by g(x)
The quotient obtained is : 5x²-4x-7
and remainder = 6x+15
on comparing the quotient given and the quotient obtain
we get
ax² +bx +c
5x²-4x-7
thus , The value of
a = 5
b = -4
and c = -7
hence , The value of a , b and c are 5 , -4 and -7
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