If g(x) = x6 + 3x4 – 24x2 + 3 find g(1), g(2) and g(3). 

A) g(1) = -17, g(2) = 19, g(3) = 759 

B) g(1) = 12, g(2) = 19, g(3) = 758 

C) g(1) = -12, g(2) = -19, g(3) = -759

D) g(1) = -12, g(2) = -19, g(3) = 759

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2 Answers

Correct option is (A) g(1) = -17, g(2) = 19, g(3) = 759

\(\because g(x)=x^6+3x^4-24x^2+3\)

\(\therefore\) g(1) = 1+3-24+3 = -17,

\(g(2)=2^6+3.2^4-24.2^2+3\)

= 64 + 48 - 96 + 3

= 115 - 96 = 19 and

\(g(3)=3^6+3.3^4-24.3^2+3\)

= 729 + 243 - 216 + 3

= 975 - 216

= 759

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Correct option is A) g(1) = -17, g(2) = 19, g(3) = 759

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