Question

Which algebraic expression is a polynomial with a degree of 2?

Answer 1

its D.

Explanation:

took the test right now

Answer 2

Given the question "Which algebraic expression is a polynomial with a degree of 2?" and the options:
1).
`4x^3-2x`
2).
`10x^2- √(x)`
3).
`8x^3+ (5)/(x) + 3`
4).
`6x^2-6x + 5`

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

The degree of a polynomial is the highest exponent of the terms of the polynomial.

For option 1: It contains no fractional or negative exponent, hence it is a polynomial. But the highest exponent of the terms is 3, hence it is not of degree 2.

For opton 2: It contains a fractional exponent which violates the definition of a polynomial, hence, it is not a polynomial.
i.e.
`10x^2- √(x) =10x^2- x^{ (1)/(2) }`

For option 3: It contains a negative exponent which violates the definition of a polynomial, hence, it is not a polynomial.
i.e.
`8x^3+ (5)/(x) + 3=8x^3+5x^(-1)+3`

For option 4: It contains no fractional or negative exponent, hence it is a polynomial. Also, the highest exponent of the terms is 2, hence it is of degree 2.

Therefore,
`6x^2-6x + 5` s a polynomial with a degree of 2. [option 4]