Question

classify the polynomial 3x^2+x-6 by degree
A. cubic
B. quintic
C. quadratic
D. quartic

Answer 1

Keywords:

Polynomial, classify, degree, greatest exponent

For this case we have the following polynomial: $Q (x) = 3x ^ 2 + x-6$, we must classify the polynomial according to its degree. For this, we must bear in mind, that by definition, a polynomial is of the form:

$P (x) = ax ^ n + bx ^ {n-1} + ... + cx ^ 3 + dx ^ 2 + ex + f$

Where:

a, b, c, d, e, f: They are the coefficients of the polynomial

n, n-1,3,2,1,0: They are the exponents. This polynomial is of degree "n", because "n" is the largest exponent.

x: It is the variable

Thus, $Q(x) = 3x ^ 2 + x-6$is of degree "2" because "2" is the largest exponent.

Answer:  

It is a quadratic polynomial

Option C

Answer 2

The classification of polynomial 3x² +x -6 by degree is; Choice C: Quadratic

Generally, polynomials take the form;

• P(x) = ax^n + bx^(n-1) + cx^(n-2).... + z

where:

• a, b....= arbitrary constants

• x = variable

• n = highest power of the variable in the polynomial

Ultimately, classification of the polynomial 3x^2+x-6 by degree is; quadratic.

A quadratic equation is one in which the highest power of the independent variable is 2.

Read more:

https://brainly.com/question/2706981