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- Adding and subtracting polynomials
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Adding and subtracting polynomials
Consider the following polynomials:
$$p(x)=-x^3+x$$
$$q(x)=2x^3-x-3$$
Do the following operation: $p(x)+q(x)$
| p(x) | q(x) | p(x)+q(x) | |
| degree 0 | $0$ | $-3$ | $-3$ |
| degree 1 | $x$ | $-x$ | $0$ |
| degree 2 | $0$ | $0$ | $0$ |
| degree 3 | $-x^3$ | $2x^3$ | $x^3$ |
$$p(x)+q(x)=x^3-3$$