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