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Match the leading coefficient to each polynomial

30x^5-4x^8+2x
14x^6+3x^8+6x^3
23m^3-15m^2+94m^9
1. 3
2.-4
3. 94m^9+23m^3-15m^2

1 answer

To find the leading coefficient of each polynomial, we need to identify the term with the highest degree and its coefficient.

  1. For the polynomial 30x^5 - 4x^8 + 2x, the term with the highest degree is -4x^8. Therefore, the leading coefficient is -4.

  2. For the polynomial 14x^6 + 3x^8 + 6x^3, the term with the highest degree is 3x^8. Therefore, the leading coefficient is 3.

  3. For the polynomial 23m^3 - 15m^2 + 94m^9, the term with the highest degree is 94m^9. Therefore, the leading coefficient is 94.

Now, we can match the leading coefficients to each polynomial:

  1. 30x^5 - 4x^8 + 2x - leading coefficient: -4 (matches with 2)
  2. 14x^6 + 3x^8 + 6x^3 - leading coefficient: 3 (matches with 1)
  3. 23m^3 - 15m^2 + 94m^9 - leading coefficient: 94 (matches with 3)

Final matching:

  • 30x^5 - 4x^8 + 2x : 2
  • 14x^6 + 3x^8 + 6x^3 : 1
  • 23m^3 - 15m^2 + 94m^9 : 3
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