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Which statement is true about the polynomial

555R² + 6st⁰ - 8567 - 6ť after it has been fully simplified?"
a) It has 3 terms and a degree of 9
b) It has 3 terms and a degree of 10
c) It has 4 terms and a degree of 9
d) It has 4 terms and a degree of 10

1 Answer

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Final answer:

The simplified polynomial has 4 terms and a degree of 9, with the term -6t⁹ having the highest exponent

Step-by-step explanation:

The polynomial in question is 555R² + 6st⁰ - 8567 - 6t⁹. To simplify this polynomial, we must combine like terms and identify the degree of the polynomial. The term 6st⁰ simplifies to 6s because any term raised to the zero power is 1. The polynomial does not have any like terms that can be combined, so the simplified form remains with four distinct terms. The highest exponent in the polynomial determines its degree. The term with the highest exponent is -6t⁹, which indicates that the degree of the polynomial is 9. Therefore, the simplified polynomial has 4 terms and a degree of 9.

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