Topic:
Multiplying Polynomials
Answer:
Polynomial 1:
- Simplified Form: 6x^2 - x - 1
- Name by Number of Terms: trinomial
Polynomial 2:
- Name by Number of Terms: binomial
Polynomial 3:
Step-by-step explanation:
Polynomial 1:
[tex](x-1/2)(6x+2)[/tex]
[tex]6x^2 - 3x + 2x - 1[/tex]
[tex]6x^2 - x - 1[/tex]
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:
[tex]4(5x^2-9x+7)+2(-10x^2+18x-13)[/tex]
[tex]20x^2 - 36x + 28 -20x^2 + 36x - 26[/tex]
[tex]28 - 26[/tex]
[tex]2[/tex]
Since there are no variables and the answer is just 2, it's a constant.
Note: I took a test on this and it seemed to be all correct