Question

q3 - accelerated mathematics gr 8 | lesson: identifying characteristics of polynomial expressions

1. what is the degree of the polynomial $7x^{4}-4x + 2$

a. 4
b. 2
c. 1
d. 3

1. which of the following expressions is a binomial?

a. $x^{3}+2x^{2}-x$
b. $3x^{4}+4x^{3}-1$
c. $4x^{2}-9$
d. $6x + 3x^{2}-7$

1. identify the type of polynomial for $6x^{3}-2x + 1$.

a. trinomial
b. monomial
c. binomial
d. polynomial with four terms

1. what is the leading coefficient of the polynomial $5x^{6}-3x^{4}+2x^{2}-1$

a. -3
b. 2
c. 5
d. -1

Explanation:

Step1: Find degree of polynomial

The degree of a polynomial is the highest exponent of its variable. For $7x^4 - 4x + 2$, the highest exponent is 4.

Step2: Identify binomial

A binomial is a polynomial with exactly 2 terms. $4x^2 - 9$ has two distinct terms.

Step3: Classify $6x^3 -2x +1$

A trinomial is a polynomial with exactly 3 terms. This expression has 3 terms.

Step4: Find leading coefficient

The leading coefficient is the coefficient of the term with the highest exponent. For $5x^5 -3x^4 +2x^2 -1$, the highest exponent term is $5x^5$, so the coefficient is 5.

Answer:

1. a. 4
2. c. $4x^2 - 9$
3. a. Trinomial
4. c. 5