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.

Verified Answer :

caylus

Hello,
Answer B

=-3s^6t²+6st^9-6t^7

Answer:


It has 3 terms and a degree of 9.

Step-by-step explanation:

\(5s^6t^2 + 6st^9 - 8s^6t^2 - 6t^7\)

before finding the degree we simplify the given polynomial

we combine like terms

the terms that has same variable with exponents are like terms

5s^6t^2 - 8s^6t^2=-3s^6t^2

\(-3s^6t^2 + 6st^9 - 6t^7\)

Simplified polynomial has only 3 terms

Degree of s^6t^2 is 8

degree of st^9 is 9

degree of t^7 is 7

largest degree is 9

So degree of this polynomial is 9

It has 3 terms and a degree of 9.