Ivan Shishkin, Rye (1878)

Problems/General algebraExerciseReviewed

Degree of easy polynomials

by Ancient Tree·
3
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This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

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What is the degree of the following polynomials:
P(X)=3X2+1,Q(X)=3X5−4X+2,R(X)=8X7+9X10?P(X)=3 X^2+1, \quad Q(X)=3 X^5-4 X+2, \quad R(X)=8 X^7+9X^{10}\quad\text{?}

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Solution by Ancient Tree

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The degree of PP is 22, because the term with the highest power is 3X23X^{2}.
Likewise, the degree of QQ is 55, while the degree of RR is 1010.

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