find the sum and product of the zeroes of the
following polynomials : 6x^2-5x-6
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Solution
▪︎ 6x²-5x-6
= 6x²-(9-4)x-6
= 6x²-9x+4x-6
= 3x(2x-3)+2(2x-3)
= (2x-3)(3x+2)
x= 3/2, x= -2/3
Sum of zeros = -b/a
= 3/2+(-2/3)= -(-5/6)
= 3/2-2/3= 5/6
= 5/6=5/6
product of zeros = c/a
3/2×(-2/3)= -6/6
-6/6=-6/6
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