Checkpoint: Operations with Polynomial Expressions Solution

Simplify.

$(9 x + 5) (x - 1) + (x^{2} + 2) (x - 2)$

$(9 x^{2} - 9 x + 5 x - 5) + (x^{3} - 2 x^{2} + 2 x - 4) x^{3} + 7 x^{2} - 2 x - 9$

Note

You can multiply the first set of terms in parentheses and the second set in the same step. Then combine all like terms.

Q: What is the classification by degree and number of terms?
A: Cubic polynomial with 4 terms