Select all statements that are true of polynomials:
5a²b-6ab3c + 3a5 is a fifth degree polynomial.
5a²b-6ab3c + 3as has a leading term of 5.
5ab – 6abc + 3acontains three terms.
12x - 10x5 - 7 + 3x4 is equivalent to -10x5 + 3x4 + 12x - 7.
0
12x – 10x5 – 7 + 3x4 has a leading term of -10x5,
12x – 10x5 – 7 + 3x* has a leading coefficient of 12.

Question

04-04-2020
Mathematics

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Select all statements that are true of polynomials:
5a²b-6ab3c + 3a5 is a fifth degree polynomial.
5a²b-6ab3c + 3as has a leading term of 5.
5ab – 6abc + 3acontains three terms.
12x - 10x5 - 7 + 3x4 is equivalent to -10x5 + 3x4 + 12x - 7.
0
12x – 10x5 – 7 + 3x4 has a leading term of -10x5,
12x – 10x5 – 7 + 3x* has a leading coefficient of 12.

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bhuvna789456 bhuvna789456 · Answer 1 · 2020-04-09T19:58:15+02:00

True statements are highlighted.

Step-by-step explanation:

Step 1: Find the statements that are true.

⇒ 5a²b - 6ab³c + 3a^5 is a fifth degree polynomial. - It is true.

Degree of first term is 2 + 1 = 3

Degree of second term is 1 + 3 + 1 = 5

Degree of third term is 5. This is the highest degree and so it is a fifth degree polynomial.

⇒ 5a²b - 6ab³c + 3a^5 has a leading term of 5. - it is false.

Leading term is the term with the highest degree, here it is not 5.

⇒ 5ab - 6abc + 3a contains three terms. - it is true.

Here, there are 3 terms in the polynomial - 5ab, 6abc, 3a

⇒ 12x - 10x^5 - 7 + 3x^4 is equivalent to -10x^5 + 3x^4 + 12x - 7 - it is true.

Rearranging the terms does not change the polynomial.

⇒ 12x - 10x^5 - 7 + 3x^4 has a leading term of -10x^5. - it is true.

Here, the term with the highest degree of x is -10x^5

⇒ 12x - 10x^5 - 7 + 3x^4 has a leading coefficient of 12. - it is false.

Here, the leading term is -10x^5, so leading coefficient is 10.

memesoflegends memesoflegends · Answer 2 · 2021-09-26T17:50:55+02:00

Answer:

Step 1: Find the statements that are true.

⇒ 5a²b - 6ab³c + 3a^5 is a fifth degree polynomial. - It is true.