Question

directions: write the polynomial in standard form. identify the degree and leading coefficient of the polynomial.

polynomial	standard form	degree	leading coefficient	classification
2. $t^2 - t^3 - 10t$
3. $2.8x + x^3$

Explanation:

Step1: Process Polynomial 1: $4-9z$

Step1a: Write standard form

Standard form orders terms by descending exponents: $-9z + 4$

Step1b: Find degree

Highest exponent of variable $z$ is 1

Step1c: Find leading coefficient

Coefficient of term with highest degree: $-9$

Step1d: Classify by terms

2 terms → binomial

Step2: Process Polynomial 2: $t^2 - t^3 -10t$

Step2a: Write standard form

Order terms by descending exponents: $-t^3 + t^2 -10t$

Step2b: Find degree

Highest exponent of variable $t$ is 3

Step2c: Find leading coefficient

Coefficient of term with highest degree: $-1$

Step2d: Classify by terms

3 terms → trinomial

Step3: Process Polynomial 3: $2.8x + x^3$

Step3a: Write standard form

Order terms by descending exponents: $x^3 + 2.8x$

Step3b: Find degree

Highest exponent of variable $x$ is 3

Step3c: Find leading coefficient

Coefficient of term with highest degree: $1$

Step3d: Classify by terms

2 terms → binomial

Answer:

Polynomial	Standard Form	Degree	Leading Coefficient	Classification
$t^2 - t^3 - 10t$	$-t^3 + t^2 - 10t$	3	$-1$	Trinomial
$2.8x + x^3$	$x^3 + 2.8x$	3	$1$	Binomial