(i) p(x) = 3x3 + 16x2 + 15x – 18
g(x) = x -2/3
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Step-by-step explanation:
p(x)=3x³+16x²+15x-18
g(x)=x-2/3
by remainder theorem
x-2/3=0
x=2/3
p(2/3)=3*(2/3)³+16*(2/3)²+15*2/3-18
=3*8/27+16*4/9+10-18
=24/27+64/9+10-18
=8/9+64/9-8
=70/9-8
=70-72/9
=-2/9
the remainder is -2/9
hope this helps you
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