How do you write a polynomial in standard form, then classify it by degree and number of terms $x^{7} y^{2} + 4 x^{3} y + 10 x^{3}$ $x^7y^2 + 4x^3y + 10x^3$ ?

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How do you write a polynomial in standard form, then classify it by degree and number of terms $x^{7} y^{2} + 4 x^{3} y + 10 x^{3}$ $x^7y^2 + 4x^3y + 10x^3$ ?

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Answer 1 · 2018-02-22T01:04:46

Currently is in standard form, degree $= 9$ $=9$ ; There are $3$ $3$ terms

Explanation:

Our polynomial is in standard form when the exponents of $x$ $x$ are descending, and the exponents of $y$ $y$ are descending. Right now, it is in standard form because from left to right, the exponents on $x$ $x$ go from $7$ $7$ to $3$ $3$ to $3$ $3$ , and on the $y$ $y$ terms, the exponents go from $2$ $2$ to $1$ $1$ to $0$ $0$ .

NOTE: $y^{0}$ $y^0$ can go at the end of the last term since it is equal to $1$ $1$ and will not change the meaning of the expression.

Degree: This would be a $9 t h$ $9th$ degree polynomial, because the highest exponent is on the term $x^{7} y^{2}$ $x^7y^2$ , and if we add the exponents, we get $9$ $9$ as the degree.

Terms: The terms are separated by the addition signs, thus we have $3$ $3$ terms.

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How do you write a polynomial in standard form, then classify it by degree and number of terms $x^{7} y^{2} + 4 x^{3} y + 10 x^{3}$ $x^7y^2 + 4x^3y + 10x^3$ ?

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How do you write a polynomial in standard form, then classify it by degree and number of terms x^7y^2 + 4x^3y + 10x^3x7y2+4x3y+10x3x^7y^2 + 4x^3y + 10x^3?

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How do you write a polynomial in standard form, then classify it by degree and number of terms $x^{7} y^{2} + 4 x^{3} y + 10 x^{3}$ $x^7y^2 + 4x^3y + 10x^3$ ?