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The value of m for which x – 2 is a factor of the polynomial x4 – x3 + 2x2 – mx + 4 is :-
- a)10
- b)- 10
- c)4
- d)9
Correct answer is option 'A'. Can you explain this answer?
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The value of m for which x – 2 is a factor of the polynomial x4&...
Solution
p(x)=0
x-2=0
x=2
so,
p(x) =x⁴ - x³ + 2x² - mx + 4 ;
p(2) =(2)⁴ - (2)³ + 2(2)² - m(2) + 4 ;
=16 - 8 + 8 - m(2) + 4 ;
=16 - 2m + 4 ;
=20 - 2m) ;
=m = 20/2 ;
=m = 10.ANS
p(x)=0
x-2=0
x=2
so,
p(x) =x⁴ - x³ + 2x² - mx + 4 ;
p(2) =(2)⁴ - (2)³ + 2(2)² - m(2) + 4 ;
=16 - 8 + 8 - m(2) + 4 ;
=16 - 2m + 4 ;
=20 - 2m) ;
=m = 20/2 ;
=m = 10.ANS
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The value of m for which x – 2 is a factor of the polynomial x4&...
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