Question

9. If 2 and 0 are the zeros of the polynomial f(x) = 2x^3 – 5x² + ax + b then
find the values of a and b.
HINT f(2)= 0 and f(0) = 0.
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Answer 1

Answer:

a = 2 , b = 0

Explanation:

Given ,f(x) = 2x^3 – 5x² + ax + b

i) If one zero is '0' then

f(0) =0

=> 2(0)³-5(0)²+a(0)+b=0

=> b = 0 ---(1)

ii) If another zero is '2' then

f(2)=0

=>2(2)³-5(2)²+a×2+b=0

=> 16-20+2a+0=0

=> -4+2a=0

=> 2a = 4

=> a = 4/2

=> a = 2

Therefore,

a = 2,

b = 0

••••

Answer 2

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