What is the degree of the polynomial (2x^3)(3x^2)?

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Multiple Choice

What is the degree of the polynomial (2x^3)(3x^2)?

Explanation:
The degree of a product equals the sum of the degrees of the factors. Here, 2x^3 has degree 3 and 3x^2 has degree 2, so their product has degree 3 + 2 = 5. Multiplying the leading terms gives 2x^3 × 3x^2 = 6x^5, so the highest power is x^5 and the degree is five. The other options come from miscounting the exponents: four would be a mis-add, six would come from adding incorrectly, and three would reflect looking at only one factor.

The degree of a product equals the sum of the degrees of the factors. Here, 2x^3 has degree 3 and 3x^2 has degree 2, so their product has degree 3 + 2 = 5. Multiplying the leading terms gives 2x^3 × 3x^2 = 6x^5, so the highest power is x^5 and the degree is five. The other options come from miscounting the exponents: four would be a mis-add, six would come from adding incorrectly, and three would reflect looking at only one factor.

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