Question

actice - complete the table (use all lowercase letters - and correct spelling!)
the first one has been completed for you as an example.
polynomial | degree | classification by degree | type by number of terms | result
$6x^3 - 9$ | 3 | cubic | binomial |
$5x^2 - 19x + 7$ | 2 | | |
$14x^2$ | | | |
8 | | | |
$2y + 3$ | | | |
$6n$ | | | |
$n^2 - 9$ | | | |

Explanation:

Step1: Identify degree 2 classification

Polynomials with degree 2 are quadratic.

Step2: Count terms for $5x^2-19x+7$

Terms: $5x^2$, $-19x$, $7$ → 3 terms = trinomial.

Step3: Analyze $14x^2$

Degree is 2 (highest exponent), classification: quadratic; 1 term = monomial.

Step4: Analyze $8$

Degree 0 (constant term), classification: constant; 1 term = monomial.

Step5: Analyze $2x-3$

Degree 1 (highest exponent), classification: linear; 2 terms = binomial.

Step6: Analyze $5x$

Degree 1, classification: linear; 1 term = monomial.

Step7: Analyze $x^5-9$

Degree 5, classification: quintic; 2 terms = binomial.

Step8: Fill table with all values

Result column is left blank as no operation is specified.

Answer:

Polynomial	Degree	Classification by degree	Type by number of terms	Result
$5x^2 - 19x + 7$	2	quadratic	trinomial
$14x^2$	2	quadratic	monomial
$8$	0	constant	monomial
$2x - 3$	1	linear	binomial
$5x$	1	linear	monomial
$x^5 - 9$	5	quintic	binomial