match each polynomial with its standard form

Question

-30x^5 - 4x^8 + 2x
14x^6 + 3x^8 + 6x^3
23m^3 - 15m^2 + 94m^4
drage the tiles to arrange them to the polynomials
A. 3x^8 + 14x^6 + 6x3
B. 94m^9 + 23m^3 - 15m^2
C. -4x^8 - 30x^5 + 3x

Answer 1

To match each polynomial with its standard form, we need to arrange the terms in each polynomial in descending order of their degree (exponents). Let's analyze each polynomial:

1. Polynomial: \(-30x^5 - 4x^8 + 2x\)

   • Standard form: \(-4x^8 - 30x^5 + 2x\)
   • Match: C. -4x^8 - 30x^5 + 2x

2. Polynomial: \(14x^6 + 3x^8 + 6x^3\)

   • Standard form: \(3x^8 + 14x^6 + 6x^3\)
   • Match: A. 3x^8 + 14x^6 + 6x^3

3. Polynomial: \(23m^3 - 15m^2 + 94m^4\)

   • Standard form: \(94m^4 + 23m^3 - 15m^2\)
   • Match: B. 94m^4 + 23m^3 - 15m^2

So the final matches are:

• \( -30x^5 - 4x^8 + 2x \) matches with C.
• \( 14x^6 + 3x^8 + 6x^3 \) matches with A.
• \( 23m^3 - 15m^2 + 94m^4 \) matches with B.