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just olya [345]
3 years ago
14

What is the degree of polynomial 3x⁴-4x³y+6x²y²-8x²y³-7y⁴+2

Mathematics
1 answer:
lbvjy [14]3 years ago
7 0

Answer:

5

Step-by-step explanation:

Find the degree of each monomial term of the polynomial. The highest degree is the answer.

deg(3x^4)=4

deg(-4x^3y)=3+1=4

deg(6x^2y^2)=2+2=4

deg(-8x^2y^3)=2+3=5

deg(-7y^4)=4

deg(2)=0

The highest degree there is 5 so that is the degree of the polynomial.

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Hello from MrBillDoesMath!

Answer:

This is a puzzling one! The answer is indeed -3/4 but I was unable to prove it using mathematics appropriate to the "middle school" level. Sorry I couldn't be more helpful.

(To prove it I generated the first few terms of its Laurent series, a Calculus topic. The first few terms are  -(3/4) + (41/64x) +  and as x approaches  minus infinity the term with "x" in the denominator goes to zero, leaving the constant value -3/4 as the answer. )


Thank you,

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