How do you write a polynomial in standard form, then classify it by degree and number of terms $z^{2} - z^{4} + 2 z^{2}$ $z^2-z^4+2z^2$ ?

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Answer 1 · 2018-07-20T13:32:44

$f (z) = - z^{4} + 3 z^{2}$ $f(z) = -z^4+3z^2$

Degree: 4, Number of terms: 2

Let $f (z) = z^{2} - z^{4} + 2 z^{2}$ $f(z) = z^2-z^4+2z^2$

$= - z^{4} + z^{2} (1 + 2)$ $= -z^4+z^2(1+2)$

$= - z^{4} + 3 z^{2}$ $= -z^4+3z^2$

Hence, $f (z)$ $f(z)$ is of degree 4 with 2 terms.

How do you write a polynomial in standard form, then classify it by degree and number of terms z2−z4+2z2z^2-z^4+2z^2 ?