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is-it-a-polynomial-f-x-2sinx-10-




Question Number 188700 by sciencestudentW last updated on 05/Mar/23
is it a polynomial f(x)=2sinx+10?
$${is}\:{it}\:{a}\:{polynomial}\:{f}\left({x}\right)=\mathrm{2}{sinx}+\mathrm{10}? \\ $$
Commented by mr W last updated on 05/Mar/23
read the definition of polynomial,  then you should know the answer.
$${read}\:{the}\:{definition}\:{of}\:\boldsymbol{{polynomial}}, \\ $$$${then}\:{you}\:{should}\:{know}\:{the}\:{answer}. \\ $$
Commented by mr W last updated on 06/Mar/23
2 sin x+10 is not a polynomial with  respect to x.  but 2 sin x+10 is a polynomial with  respect to sin x.
$$\mathrm{2}\:\mathrm{sin}\:{x}+\mathrm{10}\:{is}\:\underline{{not}}\:{a}\:{polynomial}\:{with} \\ $$$${respect}\:{to}\:{x}. \\ $$$${but}\:\mathrm{2}\:\mathrm{sin}\:{x}+\mathrm{10}\:{is}\:{a}\:{polynomial}\:{with} \\ $$$${respect}\:{to}\:\mathrm{sin}\:{x}. \\ $$

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