Question

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.

Answer 1

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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Answer 2

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