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# NCSU AGI 115 - HW Math 3 Honors Unit 3 Worksheet 3 - Long & Synthetic Div

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Math 3 Honors Name_____________________ Date_________ HW: Unit 3, Worksheet 3 POLYNOMIAL DIVISION! ------- Show all work on a sheet of notebook paper. Use synthetic division to determine the quotient and remainder. 1. )4()2077(23 xxxx 2. )2()202(24 xxx 3.   1261343 nnn 4. (𝑥3− 4𝑥) ÷ (𝑥 + 2) 5. (−5𝑥5− 2𝑥4− 3𝑥3+ 𝑥2− 2𝑥 − 1)÷ (𝑥 + 2) 6. 321(3 2 2 1) ( )3x x x x     Use long division to determine the quotient and remainder. 7.   920391323 xxxx 8.    5251013462234 ttttt 9.    1255711102234 aaaaaa 10. (x3 + x + 30) ÷ (x + 3) 11. 2𝑥3 − 4𝑥 + 7𝑥2 + 7𝑥2 + 2𝑥 − 1 12. 𝑥4+ 3𝑥2+ 1𝑥2− 2𝑥 + 3 13. Determine the divisor. 14. Using the synthetic division provided, determine the original polynomial in standard form. Then write the linear factorization of the original polynomial. 15. When 101023 xmxx is divided by 35 x, the quotient is 222 nxx and the remainder is 4. Determine the values for m and n. 16. Given the volume and the length of the box as indicated, determine the width and the

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