50.A Polynomial equations
In lesson 48 we learned that the degree of a term of a polynomial is the sum of the exponents and variables of the term.
                    
                        3x        first-degree term
                        mxy     third-degree term

Also we learned that the degree of a polynomial is the same as the degree of the highest degree term is.

What are the degrees of the following equations?

2x^3 + x + 4 +3y

xc^4f + y^5

3 + l

When two polynomials are connected by an equal sign we call the equation a polynomial equation, whos degree is the highest-degree.

There is an infinite amout of values for variable of first-degree terms

Solve for the value of y by using the given value of x, then check by plugging in the value:

3x+ 12= y,       if x = 4
3(4) + 12 = y
12+12=y
24=y

Practice:

a)       4+2n=y,        if n=8

b)     3+2+4t=y,        if t =7

c)      2m+12+8+4+ 3m +6 =y-10,    if m=5

X can be replaced with any real number and use the equation to find y. The variable x is called the independent variable. The variable y depends on the value of x, meaning that y is the dependent variable.