find the zeros of each of the following quadratic polynomials and verify the relationship between the zeros and the coefficient.(a) x ²-2x-8(b)√3x²+10x+7√3(c)x²-(√3+1)x+√3
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(a)
x (x - 4) + 2 ( x - 4 )
= (x+2) (x-4)
therefore ,
x+2 = 0
x = -2
and
x-4 = 0
x = 4
(b) √3 + 10x + 7√3
√3 + 3x + 7x + 7√3
√3 x (x + √3) + 7 (x + √3 )
( x + √3 ) ( √3x + 7 )
therefore ,
zeroes = -√3 , -7 / √3
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