Verify whether 2 is the zero of the polynomial P(x)=2x3
- px
2+17x-6 if p is 11.
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Answer:
Yes
Step-by-step explanation:
If 2 is the zero of the polynomial p(x) then p(2) = 0
Given => p(x) = 2x³-px²+17x-6
if p = 11 then p(x) = 2x³-11x²+17x-6
let x = 2 then
p(2) = 2(2)³-11(2)²+17(2)-6 = 16-44+34-6 = 0
therefore 2 is the zero of the polynomial
Hence verified
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