Answer:
Polynomial 1:
- Simplified Form: 6x^2 - x - 1
- Name by Number of Terms: trinomial
Polynomial 2:
- Name by Degree: linear
- Name by Number of Terms: binomial
Polynomial 3:
- Simplified Form: 2
- Name by Degree: constant
Step-by-step explanation:
Polynomial 1:
(x-1/2)(6x+2)
6x^2 - 3x + 2x - 1
6x^2 - x - 1
It has 3 terms, so it's a trinomial.
Polynomial 2:
There is one term with x and x is raised to the first degree, so it's linear.
There are 2 terms, so it's a binomial.
Polynomial 3:
4(5x^2-9x+7)+2(-10x^2+18x-13)
20x^2 - 36x + 28 -20x^2 + 36x - 26
28 - 26
2
Since there are no variables and the answer is just 2, it's a constant.