Question

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

Answer 1

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