(i) p(x) = x
x-
(ii) p(x) = 4x - 12x2 + 14x - 3; g(x) = 2x - 1
alrl=x-3
- 3
Answers
Answer:
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Remainder Theorem :
Let p(x) be any polynomial of degree
greater than or equal to one and let
' a ' be any real number .
If p(x) is divided by the linear polynomial
(x-a) , then the remainder is p(a).
********************************************
Here ,
p(x) = 4x³-12x²+14x-3,
If p(x) divided by g(x)=2x-1 then
the remainder is p(1/2).
So, replace x by 1/2
p(1/2) = 4(1/2)³-12(1/2)²+14(1/2)-3
=4/8 - 12/4 + 14/2 - 3
= 1/2 - 3 + 7 - 3
= 1/2 + 7 - 6
= 1/2 + 1
= 3/2
Therefore ,
Required remainder = p(1/2) = 3/2
I hope this helps you.
: )
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Answer
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Brainly User
given :-
p(x) = 4x³ - 12x² + 14x - 3
g(x) = 2x - 1
>> 2x - 1 = 0
>> 2x = 1
>> x = 1/2
on putting values :-
p(1/2) = 4(1/2)³ - 12(1/2)² + 14(1/2) - 3
= 4(1/8) - 12(1/4) + 7 - 3
= 1/2 - 3 + 7 - 3
= 1/2 + 1
= 1/2 + 2/2
= 3/2
hence, the remainder is 3/2
cliffffy4h and 64 more users found this answer helpful
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(34 votes)
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