if y=2 and y=0 are the zeroes of the polynomial f(y)=2y'3 -5y'2+ay+b find the value of a and b
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Given : y = 2 and y = 0 are the zeroes of the polynomial f(y) = 2y³ - 5y² + ay + b
To find : value of a and b.
Solution:
f(y) = 2y³ - 5y² + ay + b
y = 2 and y = 0 are the zeroes of the polynomial
=> f(2) = f(0) = 0
f(0) = 0 - 0 + 0 + b = 0
=> b = 0
f(y) = 2y³ - 5y² + ay + 0
=> f(y) = 2y³ - 5y² + ay
f(2) = = 0
=> 2(2)³ - 5(2)² + a(2) = 0
=> 16 - 20 + 2a = 0
=> 2a = 4
=> a = 2
a= 2
b = 0
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