Math, asked by amarstudy10, 10 months ago

If α and β are the zeroes of the quadratic polynomial x²+4x-3, form a quadratic polynomial whose zeroes are (3+α) and (3+β).

Answers

Answered by lChanul
0

Answer:

Let factorise x^2 -4x +3

x^2 - x - 3x+3 = 0

x ( x - 1) - 3 ( x -1) =0

(x - 3) ( x - 1 ) = 0

x = 3 or x = 1

alpha = 3 and beta = 3

3× alpha = 3×3 = 9

3 × beta = 3×3 = 9

x^2 - ( alpha + beta )x + ( alpha × beta ) = 0

x ^2 - 18 x + 81 = 0

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