Question

Which algebraic expression is a polynomial with a degree of 2? 4x3 − 2x 10x2 − StartRoot x EndRoot 8x3+ StartFraction 5 Over x EndFraction + 3 6x2 − 6x + 5

Answer 1

Answer:

$6x^2 - 6x + 5$

Step-by-step explanation:

Given

List of Options

Required

Which of the options has a degree of 2

The general format of a polynomial is

$ax^n + bx^{n-1} + ..... + cx^{n-n}$

Where n represents the degree

In this case;

n = 2

Substitute 2 for n in expression above;

$ax^n + bx^{n-1} + ..... + cx^{n-n}$

$ax^2 + bx^{2-1} + ..... + cx^{2-2}$

$ax^2 + bx^{1} + ..... + cx^{0}$

$ax^2 + bx + c *1$

$ax^2 + bx + c$

Comparing this format to the list of given options; the option with the same format is: $6x^2 - 6x + 5$

Where $a = 6$; $b = -6$ and $c = 5$

Hence, the polynomial with a degree of 2 is $6x^2 - 6x + 5$