<Li> for 3 − 5 x + 2 x 5 − 7 x 9 (\ displaystyle 3 - 5x + 2x ^ (5) - 7x ^ (9)), after reordering, − 7 x 9 + 2 x 5 − 5 x + 3 (\ displaystyle - 7x ^ (9) + 2x ^ (5) - 5x + 3); </Li> <Li> for (y − 3) (2 y + 6) (− 4 y − 21) (\ displaystyle (y - 3) (2y + 6) (- 4y - 21)), after multiplying out and collecting terms of the same degree, − 8 y 3 − 42 y 2 + 72 y + 378 (\ displaystyle - 8y ^ (3) - 42y ^ (2) + 72y + 378); </Li> <Li> for (3 z 8 + z 5 − 4 z 2 + 6) + (− 3 z 8 + 8 z 4 + 2 z 3 + 14 z) (\ displaystyle (3z ^ (8) + z ^ (5) - 4z ^ (2) + 6) + (- 3z ^ (8) + 8z ^ (4) + 2z ^ (3) + 14z)), in which the two terms of degree 8 cancel, z 5 + 8 z 4 + 2 z 3 − 4 z 2 + 14 z + 6 (\ displaystyle z ^ (5) + 8z ^ (4) + 2z ^ (3) - 4z ^ (2) + 14z + 6). </Li> <P> The degree of the sum, the product or the composition of two polynomials is strongly related to the degree of the input polynomials . </P>

Why is the degree of a constant zero