consider the following polynomials:

polynomial a: 5z + 4z^4 + 6z^3 + 2
polynomial b: 2x^4 + 9x^7 - 12x - 2

O leading term polynomial a: 4z^4
O leading term polynomial a: -6z^3
O leading term polynomial b: -12x
O leading term polynomial b: 9x^7
O 4z^4 - 6z^3 + 5z +2
O -6z^3 + 5z. + 4z^2 +2
O leading coefficient polynomial a: 4
O leading coefficient polynomial a: -6
O 9x^7 + 2x^4 - 12x - 2
O -12x + 9x^7 + 2x^4 - 2
O leading coefficient polynomial b: 9
O leading coefficient polynomial b: -12

1 answer

It looks like there might be some errors in the calculations you provided.

For polynomial a:
- The leading term is correctly identified as 4z^4 with a leading coefficient of 4.
- The next leading term should be 6z^3 with a leading coefficient of 6, not -6z^3.
- The polynomial should be ordered correctly from highest to lowest power: 4z^4 + 6z^3 + 5z + 2

For polynomial b:
- The leading term is correctly identified as 9x^7 with a leading coefficient of 9.
- The next leading term should be 2x^4 with a leading coefficient of 2, not -12x.
- The polynomial should be ordered correctly from highest to lowest power: 9x^7 + 2x^4 - 12x - 2

Please double-check your calculations and organization of terms. Let me know if you need any further assistance.