2. Divide p(x) by g(x) where p(x) =x^3+3x^2+3x+1 and g(x) = 2x+5
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SOLUTION:-
Given
• p(x) = x³+3x²+3x+1
• g(x) = 2x+5
Explanation
• p(x) = x³+3x²+3x+1
• g(x) = 2x+5
= x=-5/2
Putting x= -5/2 in p(x)
= x³+3x²+3x+1
= (-5/2)³+3×(-5/2)²+3×(-5/2)+1
= -125/8+3×25/4-15/2+1
= -125/8+ 75/4-15/2+1
Take LCM
= -125+150-60+8 / 8
= -185+158 / 8
= -27/8
Thus, the answer is -27/8
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