Question

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Answer 1

Answer:

The new expression is $p' = 5\cdot x^{2}+11\cdot x^{4}-9\cdot x^{15}+14\cdot x^{19}+12\cdot x^{22}$.

Step-by-step explanation:

A polynomial is a sum of algebraic monomials such that:

$p = \Sigma_{i=0}^{n} c_{i}\cdot x^{i}$

Where $n$ is the degree of the polynomial and $c_{i}$ is the i-th coefficient of the polynomial. A 22nd degree polynomial has $n = 22$, so that given polynomial must added by a monomial with grade 22. Thus:

If $p = 5\cdot x^{2} + 11\cdot x^{4}-9\cdot x^{15}+14\cdot x^{19}$ and $q = 12\cdot x^{22}$, then we have:

$p' = p+q$

$p' = 5\cdot x^{2}+11\cdot x^{4}-9\cdot x^{15}+14\cdot x^{19}+12\cdot x^{22}$

The new expression is $p' = 5\cdot x^{2}+11\cdot x^{4}-9\cdot x^{15}+14\cdot x^{19}+12\cdot x^{22}$.