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Select all statements that are true of polynomials:

5a²b – 6ab3c + 3a5 is a fifth degree polynomial.

2b-6ab3c + 3a5 has a leading term of 5.

5a²b – 6ab3c + 3a5 contains three terms.

12x – 10x5 – 7 + 3x4 is equivalent to -10x5 + 3x4 + 12x -

12x - 10x5 – 7 + 3x4 has a leading term of -10x5.

12

105 72.4

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Answer:

The Statements have been categorized and explanation given.

Step-by-step explanation:

The following statements are true

[tex]5a\²b - 6ab^3c + 3a^5[/tex] is a fifth degree polynomial.

  • The degree of a polynomial is the highest power in the polynomial, therefore, [tex]5a\²b - 6ab^3c + 3a^5[/tex] is a fifth degree polynomial.

[tex]5a\²b - 6ab^3c + 3a^5[/tex] contains three terms.

  • This is true. The terms are: [tex]5a\²b, - 6ab^3c, 3a^5[/tex]

[tex]12x -10x^5 - 7 + 3x^4[/tex] is equivalent to [tex]-10x^5 + 3x^4 + 12x -7[/tex]

  • The second polynomial is a basic rearrangement of the first polynomial, therefore the statement is true.

[tex]12x - 10x^5 - 7 + 3x^4[/tex] has a leading term of [tex]-10x^5.[/tex]

  • The leading term is the term containing the highest power. The highest power is 5 and the term containing it is  [tex]-10x^5.[/tex]

FALSE

[tex]2b-6ab^3c + 3a^5[/tex] has a leading term of 5.  

The leading term of this polynomial is [tex]3a^5[/tex]

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