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Rewrite the polynomial −2x3+4x5−3x2−7 in descending order, using coefficients of 0 for any missing terms. Which term is first, second, third, etc., when the polynomial is written in this way? Match the term number to the appropriate term.

Respuesta :

Answer: 4x^5+0x^4−2x^3−3x^2+0x−7

First term: 4x^5

Second term: 0x^4

Third term: -2x^3

Fourth term: -3x^2

Fifth term: 0x

Sixth term: -7


Solution:

-2x^3+4x^5-3x^2-7

Ordering the terms in descending order:

4x^5-2x^3-3x^2-7

We don't have the terms with exponent 4 and 1, then we complete the polynomial adding this terms with coefficient of 0:

4x^5+0x^4-2x^3-3x^2+0x-7

Answer:

[tex]4x^{5} + 0x^4 - 2x^3 - 3x^2 + 0x - 7[/tex]

Step-by-step explanation:

[tex]-2x^{3} + 4x^{5} - 3x^{2} - 7[/tex]

To write the complete polynomial in descending order, we will start with the term which has the highest power and then add the missing terms in it using 0 as the coefficient for x:

[tex]4x^5 - 2x^3 - 3x^2 - 7[/tex]

[tex]4x^{5} + 0x^4 - 2x^3 - 3x^2 + 0x - 7[/tex]

First term : [tex]4x^5[/tex]

Second term: [tex]0x^4[/tex]

Third term: [tex]-2x^3[/tex]

Fourth term: [tex]-3x^2[/tex]

Fifth term: [tex]0x[/tex]

Sixth term: [tex]-7[/tex]