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

6x^2-6x+5

Explanation:

Answer 2

`6x^2 - 6x + 5`

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`