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

Verified Answer :

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


Answer:

b. it has 3 terms and a degree of 10

Step-by-step explanation:

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