Question

If the zeroes of the polynomial x 3 −3x 2 +x+1 are a−b,a,a+b find a 2and b 3​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

This question if From NCERT Ex 2.4

1. Firstly add all the Zeroes of Polynomial a + a + b + a -b
2. We have a Formula alpha + Bita + Gama = -b/a (Here alpha Bita Gama are the Zeroes of Polynomial and b is Constant in Polynomial b = -3 According to Polynomial and a is also 1 as it is Coefficient of X^3
3. We got 3a = 3 (After Calculation)
4. Then we got Value of a = 1
5. Now its Time to Find the value of B
6. We have to use Another Formula for Value of B The Formula is Alpha *Bita*Gama = d/a
7. Here d is The Constant in Polynomial D = 1
8. After Doing Calculation on LHS We got a^3 - b^2a (Cube of A - square of B multiplied by A
9. Now put the Value of A in the Equation Which we have Find out from Above
10. Then Equation will be 1 - b^2
11. Take 1 to the RHS
12. -b^2 = -2
13. b^2 = 2
14. b = √2
15. As we Know that if any no is in root it may be in positive or Negative
16. so b = +-√2

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