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Answers
Answer:
Solution:-1-i) Using Remainder Theorem,
x+1=0
x=-1
Now
p(x) = x³+3x²+3x+1
p(-1) = (-1)³+3(-1)²+3×-1+1
= -1+3-3+1
=0
ii) Using Remainder Theorem,
x-½=0
x=½.
Now,
p(½) = x³+3x²+3x+1
=. (½)³+3(½)²+3×(½)
= 1/8+3× ¼+ 3×½
= 1/8+3/4+3/2
= 19/8
(iii) Using Remainder Theorem,
Here 1 is multiplied by x,
so 1x = 0,
x = 0
p(x) = x³+3x²+3x+1
p(0)= (0)³+3(0)²+3×0+1
= 0
v) Using Remainder Theorem,
5+2x=0,
2x=-5
x=-5/2
p(x)= x³+3x²+3x+1
p(-5/2)= (-5/2)³+3(-5/2)²+3×(-5/2)+1
= -125/8+75/4-15/2+1
=223/8
So, the remainder when x³+3x²+3x+1 is divided by:-
i) x+1
Answer:- 0
ii) x-½
Answer:- 19/8
iii) x
Answer:- 0
v) 5+2x
Answer:- 223/8
Sorry, I couldn't able to solve question no. 1-(iv). Please pardon me.
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Answer:
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