Solve. If 0 and 1 are the zeroes of the polynomial f(x)=2x^3-3x^2+ax+b, then find value a and b.

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𝗖𝗔𝗟𝗖𝗨𝗟𝗔𝗧𝗢𝗥 𝗧𝗘𝗖𝗛𝗡𝗜𝗤𝗨𝗘:𝗼𝗿𝗶𝗻𝗴 𝗤𝘂𝗮𝗱𝗿𝗮𝘁𝗶𝗰 𝗣𝗼𝗹𝘆𝗻𝗼𝗺𝗶𝗮𝗹𝘀 𝗖𝗔𝗟𝗖𝗨𝗟𝗔𝗧𝗢𝗥 𝗧𝗘𝗖𝗛𝗡𝗜𝗤𝗨𝗘:𝗼𝗿𝗶𝗻𝗴 𝗤𝘂𝗮𝗱𝗿𝗮𝘁𝗶𝗰 𝗣𝗼𝗹𝘆𝗻𝗼𝗺𝗶𝗮𝗹𝘀