How do you write a polynomial in standard form, then classify it by degree and number of terms $x^{4} y^{2} + 4 x^{3} y^{5} + 10 x$ $x^4y^2 + 4x^3y^5 + 10x$ ?

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How do you write a polynomial in standard form, then classify it by degree and number of terms $x^{4} y^{2} + 4 x^{3} y^{5} + 10 x$ $x^4y^2 + 4x^3y^5 + 10x$ ?

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Answer 1 · 2018-05-29T11:51:50

$5 x^{3} y^{5} + x^{4} y^{2} + 10 x$ $color(orange)(5x^3y^5 + x^4y^2 + 10x$ is the standard form.

Degree of polynomial: $8$ $8$

Number of terms: $3$ $3$

Explanation:

Polynomials in two variables are algebraic expressions consisting of terms in the form . The degree of each term in a polynomial in two variables is the sum of the exponents in each term and the degree of the polynomial is the largest such sum.

$x^{4} y^{2} + 5 x^{3} y^{5} + 10 x$ $x^4y^2 + 5x^3y^5 + 10x$

$5 x^{3} y^{5} + x^{4} y^{2} + 10 x$ $5x^3y^5 + x^4y^2 + 10x$ is the standard form.

Degree of polynomial: $8$ $8$

Number of terms: $3$ $3$

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How do you write a polynomial in standard form, then classify it by degree and number of terms $x^{4} y^{2} + 4 x^{3} y^{5} + 10 x$ $x^4y^2 + 4x^3y^5 + 10x$ ?

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How do you write a polynomial in standard form, then classify it by degree and number of terms x4y2+4x3y5+10xx^4y^2 + 4x^3y^5 + 10x?

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How do you write a polynomial in standard form, then classify it by degree and number of terms $x^{4} y^{2} + 4 x^{3} y^{5} + 10 x$ $x^4y^2 + 4x^3y^5 + 10x$ ?