Math  /  Algebra

QuestionIdentify the degree of the terms and the degree of the polynomial. 8a3b2a7+6b868 a^{3} b-2 a^{7}+6 b^{8}-6
What is the degree of the first term, 8a3b8 a^{3} b ? \square

Studdy Solution

STEP 1

1. The degree of a term in a polynomial is the sum of the exponents of the variables in that term.
2. The degree of a polynomial is the highest degree of its terms.

STEP 2

1. Identify the degree of the first term 8a3b8a^3b.
2. Identify the degree of each of the remaining terms.
3. Determine the degree of the polynomial.

STEP 3

Identify the degree of the first term 8a3b8a^3b.
The term is 8a3b8a^3b. The degree is the sum of the exponents of the variables aa and bb.
Degree of 8a3b=3+1=4 \text{Degree of } 8a^3b = 3 + 1 = 4
The degree of the first term, 8a3b8a^3b, is 4\boxed{4}.

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