Polynomials definition of variable definiton of coefficient definition of constant definition of monomial finding the degree of a monomial polynomial in standard form Polynomials definition of variable definiton of coefficient definition of constant definition of monomial finding the degree of a monomial polynomial in standard form Polynomials definition of variable definiton of coefficient definition of constant definition of monomial finding the degree of a monomial polynomial in standard formPolynomials definition of variable definiton of coefficient definition of constant definition of monomial finding the degree of a monomial polynomial in standard formPolynomials definition of variable definiton of coefficient definition of constant definition of monomial finding the degree of a monomial polynomial in standard formPolynomials definition of variable definiton of coefficient definition of constant definition of monomial finding the degree of a monomial polynomial in standard formPolynomials definition of variable definiton of coefficient definition of constant definition of monomial finding the degree of a monomial polynomial in standard formPolynomials definition of variable definiton of coefficient definition of constant definition of monomial finding the degree of a monomial polynomial in standard formPolynomials definition of variable definiton of coefficient definition of constant definition of monomial finding the degree of a monomial polynomial in standard formPolynomials definition of variable definiton of coefficient definition of constant definition of monomial finding the degree of a monomial polynomial in standard formPolynomials definition of variable definiton of coefficient definition of constant definition of monomial finding the degree of a monomial polynomial in standard formPolynomials definition of variable definiton of coefficient definition of constant definition of monomial finding the degree of a monomial polynomial in standard formPolynomials definition of variable definiton of coefficient definition of constant definition of monomial finding the degree of a monomial polynomial in standard formPolynomials definition of variable definiton of coefficient definition of constant definition of monomial finding the degree of a monomial polynomial in standard formPolynomials definition of variable definiton of coefficient definition of constant definition of monomial finding the degree of a monomial polynomial in standard formPolynomials definition of variable definiton of coefficient definition of constant definition of monomial finding the degree of a monomial polynomial in standard formPolynomials definition of variable definiton of coefficient definition of constant definition of monomial finding the degree of a monomial polynomial in standard form Polynomials definition of variable definiton of coefficient definition of constant definition of monomial finding the degree of a monomial polynomial in standard form Polynomi

1. POLYNOMIALS

2. OBJECTIVES
1.Classify polynomials ;
2. write polynomials in standard form; and
3.Evaluate polynomial expressions.

3. monomial
degree of a monomial
polynomial
degree of a polynomial
standard form of a
polynomial
leading coefficient
VOCABULARY

4. The variable is a symbol or letter that represents
a number.
What are the variables in the expression below?
- 4x + 3y - 8z + 9

5. The coefficient is the number that multiplies the variable.
More plainly, it is the number in front of a variable.
What are the coefficients in the expression below?
- 4x + 3y - 8z + 9

6. The constant is any term that does not have a
variable.
What is the constant in the expression below?
- 8 + 5y + 3x

7. POLYNOMIALS

9. Finding the Degree of a Monomial

10. Find the degree of each monomial.

12. Find the degree of each polynomial.

13. Try it!
-3x4y4 – 16xy5 - y3
9x3y5 – 7x4y5 + 3xy5

15. Writing Polynomials in Standard Form

17. 1. 2.
Try it!
x
x
x 15
2
3
17 2
3
+
−
−
x
4
1−

19. Classifying Polynomials

20. Try it!

21. Try it!
Classify the polynomials by degree and number of terms.
a.
b.
c.
d.
Polynomial
5
4
2 −
x
x
x +
− 5
3
1
4 2
3
+
−
− x
x
Degree Classify by degree Classify by number
of terms

22. Evaluation of Polynomials
Example 1
● Evaluate 4y – 15
for y = -9
• 4y - 15
• 4(-9) – 15
• -36 – 15 = - 51
● Example 2 ● Example 3
● Evaluate 3ab + c2
for a = 2, b =-10,
and c = 5.
• 3ab + c2
• 3(2)(-10) + 52
• -60 + 25 =-35
● Evaluate 6(g + h)
for g=8 and h = 7.
• 6(8 + 7)
• 6 (15) = 90

23. Try it!
● Evaluate each expression for x = -2, y = 3 and z =-10
4xyz 8y + z2 z/5 + 2 4y – x- 3z
-2z + xy 9 + y2 4xy – z -5(y + z)2
x