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mars1129 [50]
3 years ago
16

Which statement is true about the polynomial 5s6t2 + 6st9 – 8s6t2 – 6t7 after it has been fully simplified? It has 3 terms and a

degree of 9. It has 3 terms and a degree of 10. It has 4 terms and a degree of 9. It has 4 terms and a degree of 10.
Mathematics
1 answer:
Anton [14]3 years ago
5 0

Answer: The polynomial has 3 terms and a degree of 10.

Step-by-step explanation:

The given polynomial: 5s^6t^2 + 6st^9 - 8s^6t^2 - 6t^7

Here, two terms 5s^6t^2 and 8s^6t^2 have same power for s and t i.e. they are like terms.

Combine like terms , we get

6st^9 - 3s^6t^2 - 6t^7. i.e. there are 3 terms.

Degree of 6st^9  is 1+9=10;

Degree of - 3s^6t^2 is 6+2=8;

Degree of  - 6t^7  is 7.

Since degree of the polynomial = highest degree i.e. 10

Hence, the polynomial has 3 terms and a degree of 10.

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