Check whether the polynomial p(x)=4x³+4x²-x-1 is a multiply of (2x+1)Please give me own answer
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Answer :
Given
- A polynomial p(x)=4x³+4x²-x-1
- And a factor (2x+1)
Find :
- Whether (2x+1) is a factor of p(x)=4x³+4x²-x-1 or not.
Solution :
We have the polynomial,
- p(x)=4x³+4x²-x-1
And a factor
- (2x+1)
◆Step by step explanation:
- Put 2x + 1 = 0
- 2x = 0 - 1
- x =
Putting in the given polynomial :-
= 4x³+4x²-x-1
= (4× )³+(4×
)²-
-1
= (4 ×)+(4 ×
)-
-1
= +1-
= -(
)
= [/tex]
= [/tex]
= 2
As 2 is not equal to 0 thus (2x+1) is not a factor of p(x)=4x³+4x²-x-1.
__________________________
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