8.1/8.2 Polynomials (adding and subtracting)

8.1/8.2 Polynomials (adding and subtracting)

Polynomials can be identified as monomials (1 term), binomials (2 terms), and trinomials (3 terms). Terms are separated by plus and minus signs.

Multiple Choice

8x is a _________________?

• Monomial

• binomial

• trinomial

Multiple Choice

8x + 2 is a _______________?

• monomial

• binomial

• trinomial

Multiple Choice

8x² + 4x - 3 is a _________________________?

• monomial

• binomial

• trinomial

When we ADD/SUBTRACT polynomials , we add coefficients (number in front of variable) and the variable comes along for the ride. We do not add exponents!!!

Multiple Choice

6x² + 4x²

• 10x²

• 10x⁴

Multiple Choice

(5x² + 4) + (6x² - 6)

• 10x⁴ + 10

• 11x⁴ - 2

• 11x² - 2

• 11x² - 10

Multiple Choice

When we subtract polynomials, you must distribute the negative sign!! (8x + 3) - (5x - 4) becomes..... 8x + 3 - 5x + 4.............the correct answer is?

• 3x + 7

• 3x - 1

• 3x² + 7

• 3x + 7

Degree of a polynomial

You look at each term. Find the degree of each monomial. The degree of the polynomial is the highest degree of the monomial.

EX) 5x²y + 4x - 6

5x²y has a degree of 3 (add exponents of variables)

4x has a degree of 1

-6 has a degree of 0

The highest degree of these three monomials is 3. 3 is the degree of the polynomial.

Multiple Choice

What is the degree of this polynomial? 6x²yz + 4x³ + 2y² + 9

• 4

• 3

• 2

• 0

Multiple Choice

What is the degree of this polynomial? 7xyz + 8x⁴

• 4

• 3

• 2

• 1

Poll

Do you feel better about lesson 8.1/8.2?

• yes

• no

• the same