Find the zeroes of the polynomial 2x2 -9 and verify the relationship between the zeroes and the coefficients of the polynomial.
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Step-by-step explanation:
2x²-9x+4=0
2x²-8x-x+4=0
2x(x-4)-1(x-4)=0
(2x-1)(x-4)=0
x= 1/2 or x = 4.
Sum of zeros = 1/2+4=4 and 1/2. (-coefficient of x² /coefficient of x)
Product of zeros = 1/2 * 4 = 2 (constant term / coefficient of x²)
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