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).
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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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