if alpha and beta are zeroes of polynomial 6x^2 + x-12. then find quadratic polynomial whose zeroes are alpha+2 and beta +2
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Step-by-step explanation:
6x²+ x - 12
The factors of 6 and 12 are 2,3 and 2,2,3
= 6x²+ 9x -8x - 12 = 0
3x(2x+3) -4(2x+3) = 0
(2x+3) (3x-4) = 0
2x+3=0 3x- 4=0
2x = -3 3x = 4
x = -3/2 x = 4/3
Therefore, the zeros are -3/2 and 4/3
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