Math, asked by shreyankmarathe13, 1 year ago

if alpha and bita are the zeroes of quadratic polynomial x2 - 2x +3 . find a polynomial whoes roots are . a alpha +2, bita +2 ​

Answers

Answered by avapapa
5

Answer:

We Know that sum of zeroes = -b/a

and product= c/a

therefore, alpha + beta= -(-2/1) = 2

and alpha*beta= 3/1 = 3

now taking alpha +2 and beta +2

sum = alpha + 2 + beta + 2

= alpha + beta + 4

= 2 + 4                                                alpha + beta = 2

sum = 6

Product = (alpha + 2) (beta +2)

= alpha*beta + 2 alpha + 2 beta + 4          taking 2 as common

= 3 + 2 (alpha + beta) + 4                          alpha*beta = 3

= 3 + 2 (2) + 4                                          alpha + beta = 2

=3 + 4 + 4

product =11

now if we have sum and product of zeroes the formula of polynomial is

x^2 - sum of zeroes + product of zeroes

= x^2 - 6 + 11         Ans

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