Question

Match each polynomial with its standard form
-30x^5-4x^8+2x
14x^6+3x^8+6x^3
23m^3-15m^2+94m^9

1.94m^9+23m^3-15m^2
2.-4x^8-30x^5+2x
3.3x^*+14x^6+6x^3

Answer 1

To match each polynomial with its standard form, we need to rewrite each polynomial in standard form, which is typically arranged in descending order of the degree of the terms.

Let's go through each polynomial:

1. **Polynomial: -30x^5 - 4x^8 + 2x**
- In standard form: -4x^8 - 30x^5 + 2x (the term with the highest degree comes first)

**Match:** 2. -4x^8 - 30x^5 + 2x

2. **Polynomial: 14x^6 + 3x^8 + 6x^3**
- In standard form: 3x^8 + 14x^6 + 6x^3 (the term with the highest degree comes first)

**Match:** 3. 3x^8 + 14x^6 + 6x^3

3. **Polynomial: 23m^3 - 15m^2 + 94m^9**
- In standard form: 94m^9 + 23m^3 - 15m^2 (the term with the highest degree comes first)

**Match:** 1. 94m^9 + 23m^3 - 15m^2

So the final matches are:
1. -30x^5 - 4x^8 + 2x → 2. -4x^8 - 30x^5 + 2x
2. 14x^6 + 3x^8 + 6x^3 → 3. 3x^8 + 14x^6 + 6x^3
3. 23m^3 - 15m^2 + 94m^9 → 1. 94m^9 + 23m^3 - 15m^2