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Simplify the given polynomials. Then, classify each polynomial by its degree and number of terms.
Polynomial 1: (1 - 1)(61 + 2)
Polynomial 2: (712 + 32) – (21.32 – 12)
Polynomial 3: 4(5.12 – 95 + 7) + 2(-10x2 + 185 – 13)
2
6.12 + 21 - 1
612 - I - 1
trinomial
linear
constant
6
binomial
Polynomial
Simplified Form
Name by
Degree
Name by
Number of Terms
1
612 - I - 1
quadratic
2
3.0 + 4
3
2
monomial
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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.

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