What I have learned about grade 9 polynomials

 

1. Names of polynomials (types)

Monomial – 5x

Binomial – x + 4

Trinomial – 2x – 5 + 2

Polynomial – 5x + 5 – 3x – 2

 

2. Adding polynomials

Adding polynomials is just combining like terms

2x^2 + 6x + 5  +  3x^2 – 2x – 1

2x^2 + 3x^2   +  6x – 2x   +   5 – 1

5x^2   +    4x   +  4

 

3. Subtracting polynomials

Subtracting polynomials is combing like terms after you have flipped the sign of the terms that are being subtracted

(x^3 + 4x – 2) – (2x^3 + 5x)

x^3 + 4x – 2 – 2x^3 – 5x

-x^3 – x – 2

 

4. Multiplying polynomials

Multiply each term in one polynomial by each term in the other polynomial. Add those answers together, and simplify

(x + 2y) (3x – 4y +5)

3x^2 – 4xy + 5x + 6xy – 8y^2 + 10y

3x^2 + 2xy + 5x – 8y^2 +10y

 

 

 

5. Dividing polynomials

(4x^2 + 4x – 10) / 2

2x^2 + 2x – 5

 

 

6. How to find degree of polynomials

It is the largest exponent of its terms

Example: 2x^3 + x^2 – 7

The degree of the polynomial is 3 because it is the largest exponent of its terms