Mathematics, 10.10.2019 08:30 mashedpotatoes28

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

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Answer from: evelyngarcia99

Given the question "Which algebraic expression is a polynomial with a degree of 2?" and the options:
1). 4x^3-2x

2). $10x^2- \sqrt{x}$
3). $8x^3+ \frac{5}{x} + 3$
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. $10x^2- \sqrt{x} =10x^2- x^{ \frac{1}{2} }$

For option 3: It contains a negative exponent which violates the definition of a polynomial, hence, it is not a polynomial.
i.e. $8x^3+ \frac{5}{x} + 3=8x^3+5x^{-1}+3$

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]

Answer from: Quest

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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Answer from: Quest

answer: (3,11) is your answer.

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