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NAME _____________________________________________ DATE ____________________________ PERIOD _____________ Chapter 538Glencoe Algebra 25-6 Practice The Remainder and Factor Theorems Use synthetic substitution to find f(–3) and f(4) for each function. 1. f(x) = 𝑥2+ 2x + 3 2. f(x) = 𝑥2–5x + 10 3. f(x) = 𝑥2–5x –4 4. f(x) = 𝑥3–𝑥2–2x + 3 5. f(x) = 𝑥3+ 2𝑥2+ 5 6. f(x) = 𝑥3–6𝑥2+ 2x 7. f(x) = 𝑥3–2𝑥2–2x + 8 8. f(x) = 𝑥3–𝑥2+ 4x –4 9. f(x) = 𝑥3+ 3𝑥2+ 2x –50 10. f(x) = 𝑥4+ 𝑥3–3𝑥2–x + 12 11. f(x) = 𝑥4–2𝑥2–x + 7 12. f(x) = 2𝑥4–3𝑥3+ 4𝑥2–2x + 1 13. f(x) = 2𝑥4–𝑥3+ 2𝑥2–26 14. f(x) = 3𝑥4–4𝑥3+ 3𝑥2–5x –3 15. f(x) = 𝑥5+ 7𝑥3–4x –10 16. f(x) = 𝑥6+ 2𝑥5–𝑥4+ 𝑥3–9𝑥2+ 20 Given a polynomial and one of its factors, find the remaining factors of the polynomial. 17. 𝑥3+ 3𝑥2–6x –8; x –2 18. 𝑥3+ 7𝑥2+ 7x –15; x –1 19. 𝑥3–9𝑥2+ 27x –27; x –3 20. 𝑥3–𝑥2–8x + 12; x + 3 21. 𝑥3+ 5𝑥2–2x –24; x
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