A polynomial is a many-termed mathematical expression, with terms separated by plus or minus signs. The coefficients of a polynomial are the coefficients of its terms.
However, because the word polynomial means “many terms,” we can also use the word polynomial to describe mathematical expressions with more than three terms, such as: \[x^{4}-4 x^{3} y+6 x^{2} y^{2}-4...However, because the word polynomial means “many terms,” we can also use the word polynomial to describe mathematical expressions with more than three terms, such as: x4−4x3y+6x2y2−4xy3+y4The coefficients of x4−4x3y+6x2y2−4xy3+y4 are 1, −4, 6, −4, and 1.
However, because the word polynomial means “many terms,” we can also use the word polynomial to describe mathematical expressions with more than three terms, such as: \[x^{4}-4 x^{3} y+6 x^{2} y^{2}-4...However, because the word polynomial means “many terms,” we can also use the word polynomial to describe mathematical expressions with more than three terms, such as: x4−4x3y+6x2y2−4xy3+y4The coefficients of x4−4x3y+6x2y2−4xy3+y4 are 1, −4, 6, −4, and 1.