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what is the difference in the degree of 2x3(x5+3)+2 and 3t3+t+9

Do you mean: 2x^3(x^5+3)+2 and 3t^3+t+9? (where "^" means "raised to the power of")

If so, then

2x^3(x^5+3)+2 = 2x^8 + 6x^3 + 2, after distributing, is an 8th degree polynomial

while 3t^3+t+9 is a 3rd degree. Hence, the difference in degree is 8-3=5.

Abe

Algebra

Answers by Expert:

Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Over 15 years teaching at the college level.**Organizations**

NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.**Education/Credentials**

B.S. in Mathematics from Rensselaer Polytechnic Institute

M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook