Checkpoint: Polynomials Solutions

Explain if the given expressions are polynomials. If it is a polynomial, name the degree.

$14 x^{- 3} y + 2 x y - 9$
No, expression A is not a polynomial because the first term has a negative exponent.

$7 p^{2} q^{2} - 4 p^{4} q^{2} - 6 p^{5} q^{2}$
Yes, expression B is a 7th degree polynomial.
1st term: $2 + 3 = 5$
2nd term: $4 + 2 = 6$
3rd term: $5 + 2 = 7$

Note

Q: How can you rewrite “14x to the negative 3rd power” using a positive exponent?
A: “14 over x to the 3rd power”

Q: How do you find the degree when a polynomial has more than one variable?
A: Find the sum of the exponents.

Q: What is the correct classification for the number of terms for both expressions?
A: Trinomial