If (a-2)x+(b-a)x+(c+b) is a zero polynomial, then find the values of a, b ,c
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The values of a, b, c are of a zero polynomial (a-2)x+(b-a)x+(c+b) are 0, 0, 0 respectively
Step-by-step explanation:
Zero polynomial:
- Zero polynomial is a constant polynomial whose all coefficients of a variable are equal to zero.
- Degree of zero polynomial is undefined.
- Given polynomial is (a-2)x+(b-a)x+(c+b)
(a-2)x+(b-a)x+(c+b) = ax-2x+bx-ax+c+b
= bx+2x+c+b
= (b+2)x+c+b
- Since the given polynomial is a zero polynomial
then all the coefficients of above polynomial is equal to zero.
So, a=0, b=0, c=0
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