By analyzing the polynomial we have the following conclusions about the five propositions:
1) True
2) True
3) False
4) False
5) True
In this question we have a second order polynomial with two variables (x, y) and we need to determine the truth value of each proposition by applying concepts related to polynomials.:
1) There are four terms - A term is an additive component of the polynomial. Thus, the polynomial has four terms. (True)
2) 6 · x² and 3 · x are like terms - Two components are like terms if they have the same variable. Thus, 6 · x² and 3 · x are like terms. (True)
3) The coefficient on y is 14 - A coefficient is a constant that accompanies a variable. The constant of y is -14. (False)
4) Simplified, the expression is 6 · x² + 5 · x - 14 · y - The simplification of the polynomial is done by applying algebraic properties. The simplified form is 6 · x² + x - 14 · y. (False)
5) The commutative property allows the expression to be written as 6 · x² - 14 · y + 3 · x - 2 · x - Commutative property indicates that the order of components of the polynomial can be changed without changing the result of the entire polynomial. (True)
The statement is incomplete and incorrectly formatted. Correct statement is shown below:
Determine the truth value of each statement based on the expression 6 · x² - 2 · x - 14 · y + 3 · x.
1) There are four terms.
2) 6 · x² and 3 · x are like terms.
3) The coefficient on y is 14.
4) Simplified, the expression is 6 · x² + 5 · x - 14 · y.
5) The commutative property allows the expression to be written as 6 · x² - 14 · y + 3 · x - 2 · x.
To learn more on polynomials: https://brainly.com/question/17822016
#SPJ1
