Find the sum of the polynomials and degree of the sum : $$ \begin{array}{l} ext { (a) } p(x)=x^{3}-5 x^{2}+x+2 ext { and } q(x)=x^{3}-3 x^{2}+2 x+1\end{array} $$

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Find the sum of the polynomials and degree of the sum : $$ \begin{array}{l}	ext { (a) } p(x)=x^{3}-5 x^{2}+x+2 	ext { and } q(x)=x^{3}-3 x^{2}+2 x+1\end{array} $$

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ (x^3-5x^2+x+2)+(x^3-3x^2+2x+1) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\left(x^{3}-5x^{2}+x+2\right)+\left(x^{3}-3x^{2}+2x+1\right)$$
- step1: Remove the parentheses:
  $$x^{3}-5x^{2}+x+2+x^{3}-3x^{2}+2x+1$$
- step2: Add the terms:
  $$2x^{3}-8x^{2}+3x+3$$
The sum of the polynomials $$p(x) = x^3 - 5x^2 + x + 2$$ and $$q(x) = x^3 - 3x^2 + 2x + 1$$ is $$2x^3 - 8x^2 + 3x + 3$$.

The degree of the sum is 3.
The sum is $$2x^3 - 8x^2 + 3x + 3$$ and its degree is 3.

Find the sum of the polynomials and degree of the sum :

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