Descartes Rule of Signs and The Rational Zeros Theorem
Name __________
Match the correct function with the given graph.
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Use the rational zeros theorem to determine the possible rational zeros of the polynomial.
#5. h(z)=60z4−16z3−47z2+26z−3
#6. g(z)=z4−2z3−z2+2z
#7. s(y)=150y4+265y3+106y2−13y−4
#8. g(z)=z2−9z+18
#9. h(t)=18t4+63t3+64t2+20t
#10. f(y)=5y2+2y−3
Use Descartes' Rule of Signs to determine how many positive and negative real zeros of the polynomial.
#11. g(z)=3z3+5z2−16z−12
#12. h(y)=96y4−112y3−166y2+7y+10
#13. g(y)=60y3+97y2+47y+6
#14. h(t)=6t4−23t3+33t2−21t+5
#15. f(t)=15t4+59t3+75t2+37t+6
#16. s(z)=z2+z−30
Find all real zeros of the polynomial.
#17. h(x)=24x3+46x2+25x+3
#18. f(x)=30x3+49x2+14x−5
#19. f(x)=3x3+11x2−6x−8
#20. g(x)=5x4+8x3−7x2−6x
Find all zeros of the polynomial.
#21. h(y)=12y4+17y3+2y2−19y−12
#22. g(x)=9x3+9x2+8x−4
#23. g(t)=8t4+62t3+139t2+151t+30
#24. g(x)=9x3+15x2+12x+4
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