If 2 and 0 are the zeros of the polynomial f(x) = (2x^3)-(5x^2) + ax + b then find the values of a and b.
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Answer:
a = 2
b = 0
Step-by-step explanation:
Place x=2 in
(2x^3)-(5x^2) + ax + b
==: (2*2^3) - (5*2^2) + 2a +b = 0
==: 16 - 20 + 2a + b = 0
==: 2a + b = 4 ......(1)
Place x = 0 in
(2x^3)-(5x^2) + ax + b
==: (2*0) - (5*0) + 0 + b = 0
==: b = 0 .......(2)
Place 2 in 1
2a + 0 = 4
a = 2
b = 0
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