find the value of k for which the polynomial x to the power 3 minus 3 X square + 3 X + K has 3 has its zero
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ÊLLØ'....!!
Given:-
x = 3
• It is given that 3 is Zero of polynomial
x² + 2x + k.
•When we put value of x as 3 in the polynomial we get 0 as resultant.
x² + 2x + k = 0
( 3 )² + 2× 3 + k = 0
9 + 6 + k = 0
k = - 15
The required polynomial is
x² + 2x - 15 = 0
x² + 5x - 3x - 15 = 0
x ( x + 5 ) - 3 ( x + 5 ) = 0
( x - 3 ) ( x + 5 ) = 0
• ( x - 3 ) = 0
x = 3 ( given )
• ( x + 5 ) = 0
x = - 5
- 5 is the second Zero of polynomial.
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