we learnt that

**Monomials**are:

- A number

- A product of one or more variables

- The product of a number and one or more variables

Monomials consist of a numerical coefficient and a variable.

**Polynomials***Are algebraic expressions formed by adding or subtracting monomials.*

*Each monomial is a term of the polynomial.*

x + 17

Binomial = two terms

x² + 4x - 3

Trinomial = three terms

**Evaluating Polynomials**Evaluate the expression for the given value of the variable:

x² + 4x - 3 for x = 2

= (2)² + 4(2) -3

= 4 + 8 - 3

= 9

__Mathematical Convention__The terms of a polynomial are usually written so that the exponents of the variable are in descending order or ascending order.

If there is more than one variable, then it is written in ascending or descending order of one od the variables.

__Ex.__

**Write the polynomial in ascending order of x :**

5x³y + 4xy³ -3 + 4x²y²

= -3 + 4xy² + 4x²y² + 5x³y

__Adding Polynomials__(x² + 4x - 2) + (2x² -6x +9)

= x² + 2x² + 4x - 6x -2 +9

= 3x² - 2x + 7

__OR__x² + 4x - 2

+ 2x² - 6x + 9

_____________

= 3x² - 2x +7

__Subtracting Polynomials__(6a² - ab + 4) - (7a² + 4ab - 2)

= 6a² - 7a² - ab + 4ab + 4 - 2

= -a² + 5ab + 2

__OR__4y² - 2y + 3

- (3y² + 5y -2)

___________

= y² - 7y + 5

And for our assignment we just finished off the math booklet.

Taylor Wigston