Answer:
a) [tex]3c^2-11c+12[/tex]
b) 3 terms in simplified expression
c) 3 is leading coefficient
d) 2 is the degree of simplified expression
Step-by-step explanation:
We need to perform subtraction of [tex](5c^2 - 3c + 9) - (2c^2+ 8c - 3)[/tex]
a) What did you need to distribute to the second polynomial to rewrite?
We need to multiply - sign with the terms inside the bracket.
Perform subtraction. Then, answer:
[tex](5c^2 - 3c + 9) - (2c^2+ 8c - 3)\\=5c^2 - 3c + 9 - 2c^2- 8c +3\\Combining \ like \ terms\\=5c^2-2c^2-3c-8c+9+3\\=3c^2-11c+12[/tex]
b) How many terms in the simplified expression?
There are 3 terms in the simplified solution [tex]3c^2-11c+12[/tex]
c) What is the leading coefficient of the simplified expression?
The leading coefficient is the coefficient with highest degree. The highest degree is 2 so, leading coefficient is 3
d) What is the degree of the simplified expression?
The highest degree is considered as the degree of simplified expression. In our case [tex]3c^2-11c+12[/tex] the highest degree is 2
