Unit 2 Math Mindmap

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Unit 2 Math Mindmap by Mind Map: Unit 2 Math Mindmap

1. Multiplying Polynomials with Same Base

1.1. The base stays the same and the exponents are added.

1.1.1. Example: 7^2+7^4=7^6

2. Dividing Polynomials with Same Base

2.1. The base stays the same and the exponents are multiplied.

2.1.1. Example: 7^5/7^2=7^3

3. Calculate the Power of a Power

3.1. The base stays the same exponents are multiplied.

3.1.1. Example: (3^3)^3=3^9

4. Variable

4.1. A letter that represents a value that can change.

4.1.1. Example: x

5. Term

5.1. A number, variable or exponent

5.1.1. Examples: 3, x, 3x, 3^3, 3x^3

6. Coefficient

6.1. The number part of a term.

6.1.1. Example: 8x, 8 is the Coefficient

7. Constant Term

7.1. A term that does not have any variables.

7.1.1. Example: 5

8. Degree

8.1. Of a single term

8.1.1. Sum of the degrees in the term.

8.1.1.1. Example: 3^5, 5 is the Degree of this Term

8.2. Of a polynomial

8.2.1. Highest degree in the polynomial.

8.2.1.1. Example: 7^2+8^4, 4 is the Degree of this Polynomial

9. Monomial

9.1. A polynomial with one term.

9.1.1. Example: 3x

10. Binomial

10.1. A polynomial with two terms.

10.1.1. Example: 2x+3

11. Trinomial

11.1. A polynomial with three terms.

11.1.1. Example: 1+7x-3x

12. Like Terms

12.1. Same variables and same exponents.

12.1.1. Example: 3x and 4x are Like Terms

13. Unlike Terms

13.1. Different variables or same variables with different exponents.

13.1.1. Example: 3x and 3y are Unlike Terms

14. Distributive Property

14.1. Simplifying an equation by combining like terms.

14.1.1. Example: 7x-3x=4x

14.1.2. Example: 3x (4x+2)=12x^2+6x

15. Dividing Polynomials with Different Base

15.1. Divide the constant terms and subtract the variables.

15.1.1. 10 a^5/5 a^2=2 a^3

16. Subtracting Polynomials

16.1. With same variable

16.1.1. Example: 7x^5-3x^5=4x^5

16.1.2. The variable stays the same and the constants are subtracted.

16.2. With different variable

16.2.1. You cannot subtract polynomials with different variables as both terms must be like terms in order to subtract.

17. Adding Polynomials

17.1. With Same Variable

17.1.1. Variable stays the same and the constants are added.

17.1.1.1. Example: 7x^5+6x^5=13x^5

17.2. With Different Variable

17.2.1. You cannot add two polynomials with different variables as both terms need to be like terms in order to be able to be added.

18. Constants With the Exponent of 0

18.1. Any constant to the exponent of 0 is equal to 1.

18.1.1. Example: 5^0=1