Respuesta :
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.
Answer:
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.
Step-by-step explanation:
