Math, asked by Navie7639, 1 year ago

If alpha and beta are the zeros of the polynomial such that alpha + beta = 10 and alpha.beta=6. write the polynomial

Answers

Answered by shanujindal48p68s3s
2

 {x}^{2}  - 10x + 6 = 0
We know that the quadratic polynomial is of the form
 {x}^{2}  - sx + p
Where s is the sum of roots and P is the product of the roots.
Substituting the values, we get the polynomial as written above.
Answered by mohitgurjar59
4

Answer:

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\mathcal{\green{answer =  {x}^{2} + 10x + 6 }}

Step-by-step explanation:

Given that,the sum of Zeroes =10

the product of zeros =6

To form a quadratic polynomial

we have to use the formula, '

 {x}^{2}  - ( \alpha  +  \beta )x +  \alpha  \beta

So we get ,

 =  {x}^{2}  + 10x + 6

Hence, the required polynomial is x²+10x+6.

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