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Given that, x=2 and x=0 are the zeroes of polynomial, p(x)=2x³–5x²+ax+b
Firstly, Put, x=2 in p(x);
p(2)=2(2)³–5(2)²+a(2)+b=0 (as 2 is a zero)
0=2a+b–4......(1)
Secondly, Put, x=0;
p(0)=b=0........(2)
Put, (2) in (1);
=> a=2
Therefore, a=2, and b=0
Verification:
Put, x=2, a=2, b=0
2(2)³–5(2)²+2(2)+0
16–20+4
–4+4
0
Hence, verified.
I hope it helps you ^_^
Answered by
0
Answer:
a = 2 and b = 0
hope it helps....
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