Please solve this question
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Solution:-
Given:-
- Polynomial :- ( x⁴ - x³ - 11x² -x + a)
- ( x + 3) is the Factor of the Given Polynomial.
To Find:-
- Value of a = ?
Find:-
( x + 3 ) is the Factor.
=) x + 3 = 0
=) x = -3
P(x) = x⁴ - x³ - 11x² -x + a
=) P(-3) = (-3)⁴ - (-3)³ -11 (-3)² -(-3) + a
=) 0 = 81 - ( -27) -11 (9) + 3 + a
=) 0 = 81 + 27 - 99 + 3 + a
=) a = 99 - 81 - 30
=) a = -12
Hence,
a takes the value of (-12).
harsh1814:
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