Chứng minh rằng nếu 6a,2b,a+b+c ,d là các số nguyên thì P(x) luôn nguyên với mọi x nguyên

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I. Chia động từ ở thì quá khứ tiếp diễn 1. I ___________________down the street when it begin to rain (go) 2. At this time last year, I ___________________an English course (attend) 3. Jim ________________ under the tree when he heard an explosion (stand) 4. The boy fell and hurt himself while he _________________ a bicycle (ride) 5. When we met them last year, they______________ in Santiago (live) 6. The tourist lost his camera while he________________ around the city (walk) 7. The lorry _______________ very fast when it hit our car (go) 8. While I ____________________in my room, my roommate ___________________ a party in the other room (study/ have) 9. Mary and I___________________ the house when the telephone rang (just leave) 10. We __________________ in the café when they saw us (sit) II. Chia động từ ở thì quá khứ hoặc quá khứ tiếp diễn 1. I ________________ (call) Mr Wilson at 9 last night, but he (not be)_________________at home. He (study) _______________ at the library 2. I _________________ (not hear) the thunder during the storm last night because I ________________ (sleep) 3. It was beautiful yesterday when we went for a walk in the park. The sun______________(shine). The birds_____________(sing) 4. My brother and sister ________________ (talk) about something when I ________________ (walk) into the room. 5. Tom went to his friends ‘house, but the boys ___________________ (not be) there. They (play)_____________soccer in thevacant lot down the street. 6. The little boy _______________ (fall) asleep while his mother___________________ (read) him a story. 7. I really enjoyed my holiday last January. While it_______________(snow) in Iowa, the sun ______________ (shine) in Florida. 8. While Ted _______________ (shovel) snow from his driveway yesterday, his wife _________________ (bring) him a cup of hot chocolate. 9. John _________________ (have) a car accident last week. He __________________ (drive) down the street when suddenly a lorry __________________ (hit) his car from behind. 10. Ten years ago, the government _______________ (decide) to begin a food programme. At that time, many people in the rural areas _______________ (starve) due to several years of drought. 11. They ___________________(wait) for me when I _________________ at the station (arrive) 12. She ________________ (swim) in the sea when I ___________________ her (see) 13. ___________________they__________________(play) tennis when it _________________ raining (start)? 14. We __________________ (drive) home from the theatre when the police __________________(stop) us. 15. The wind __________________ (blow) very hard when I ________________(go) out this morning.