Check whether –2 and 2 are zeroes of the polynomial 2x + 4
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Answered by
7
2x+4 = 0
when x= -2
2x+4= -4+4 =0 ✓
when x= +2
2x+4= 4+4 is not equal to 0
so only -2 is zeroe of the polynomial 2x + 4
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Answered by
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★Question:-
=> Check whether -2 and 2 are the zeroes of the polynomial 2x + 4 .
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★Solution:-
⠀
†Given polynomial:-
- 2x + 4
⠀
➠ Taking the value of x = -2 and 2:-
⠀
Case I =>
- p(x) = 2x + 4
- p(-2) = 2 × (-2) + 4
- ⠀⠀⠀= -4 + 4
- ⠀⠀⠀= 0
⠀
•°• -2 is the zero of the given polynomial.
⠀
Case II =>
- p(x) = 2x + 4
- p(2) = 2 × 2 + 4
- ⠀⠀⠀= 4 + 4
- ⠀⠀⠀= 8 ( ≠ 0 )
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•°• 2 is not the zero of the given polynomial.
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♠ Hence :-
- Only -2 is the zero of the given polynomial.
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