High School

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What is the leading degree term and its coefficient in the expression:

\[ 2x^{24} + 11x^{19} + 19x^{18} - 2x^{3-24} + 23x^{3} + 5x^{2} + 22x^{4} \]?

Answer :

The leading degree term of the polynomial is 2x^24, and its coefficient is 2.

The student has provided a polynomial and asked for the leading degree term and its coefficient.

When identifying the leading term of a polynomial, we look for the term with the highest exponent on the variable. In the provided polynomial 2x24 + 11x19 + 19x18 - 2x3-24 + 23x3 + 5x2 + 22x4, the term with the highest exponent is 2x24, which makes it the leading term.

The coefficient of this leading term is the number that is multiplying the variable raised to the highest power, which in this case is 2. Therefore, the leading degree term is 2x24, and its coefficient is 2.

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