If x=2 and x=0 are the zeroes of the polynomial f(x) 0= 2x 2 -5x 2 +ax+b,find the values of a and b.
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Given x= 2 is a zero of the equation
2x²-5x² + ax + b =0
=> -3x² + ax + b =0
=> -3(2²) + a(2) + b =0
=> -3(4) + 2a + b =0
=> -12 +2a + b =0
=> 2a+ b = 12 ------------(1)
Given x=0 is also a zero of the equation
=> -3(0) + a(0) + b =0
=> b=0 ------------(2)
Substitute (2) in (1)
2a + o = 12
=> 2a = 12
=> a = 12/2
a = 6
Therefore a = 6 , b = 0
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