Question

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

Answer 1

b. it has 3 terms and a degree of 10

Explanation:

edge 2021

Answer 2

Choices:

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.

Answer : It has 3 terms and a degree of 10.

`5s^6t^2 + 6st^9 - 8s^6t^2 - 6t^7`

Simplify the expression

`5s^6t^2 - 8s^6t^2 + 6st^9 - 6t^7`

Combine like terms

`- 3s^6t^2 + 6st^9 - 6t^7`

To find degree we add the exponents 's' and 't' of each term

`- 3s^6t^2 --> degree = 8`

`6st^9 --> degree = 10` ( 's' has exponent 1)

`- 6t^7 --> degree = 7`

Simplified expression is
`- 3s^6t^2 + 6st^9 - 6t^7`

Highest degree is 10

It has 3 terms and a degree of 10