Question

Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used.

Classify each polynomial by its degree and number of terms.
trinomial
exponential
constant
monomial
linear
quadratic
binomial

Answer 1

Answer with explanation:

A polynomial is said to be:

1) Constant if it is of degree 0 i.e. in general it is represented by: a

2) Linear if it is of degree one i.e. in general it is represented by: ax+b

3) Quadratic if it is of degree two i.e. in general it is represented by:
`ax^2+bx+c`

4) cubic if it is of degree 3 i.e. in general it is represented by:
`ax^3+bx^2+cx+d`

Also,

1) Monomial-- is a polynomial with one term.

2) Binomial-- is a polynomial with two terms.

3) Trinomial-- is a polynomial with three terms.

Answer 2

The solution in the attached figure

Explanation:

case 1) we have

`(7)/(4)x+3`

Classify

a) Name using degree ---> Is a linear polynomial (the power of the largest term is 1)

b) Name using Number of Terms ----> Monomial (the number of terms is 1)

case 2)

we have

`5.2x^(2)-4x+2.5`

Classify

a) Name using degree ---> Is a quadratic polynomial (the power of the largest term is 2)

b) Name using Number of Terms ----> Trinomial (the number of terms is 3)

case 3)

we have

`3/5`

Classify

a) Name using degree ---> Is a constant (the power of the largest term is 0)

b) Name using Number of Terms ----> Monomial (the number of terms is 1)

case 4)

we have

`0.75x^(2)`

Classify

a) Name using degree ---> Is a quadratic polynomial (the power of the largest term is 2)

b) Name using Number of Terms ----> Monomial (the number of terms is 1)