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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