If p( x )= 2 x 3 + a x 2 + 3 x – 3 and f( x ) = x 3 + x 2 - 4 x + a leave the same remainder when divided by x -2, find the value of a.
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Answer:
p(x)=2x3+ax2+3x-3
1+ 4a......as reminder
f(x)=x3+x2-4x+a+4
1+4a=a+4
3a=3
a=3/3
a=1
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- p(x)=2x3+ax2+3x-3
- 1+ 4a......leave the as reminder
- f(x)=x3+x2-4x+a+4
- 1+4a=a+4
- 3a=3
- a=3/3
- a=1
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