Question

Which polynomial is written in ascending order? t2 − t + 4 t2 + 4 − t 4 + t2 − t 4 − t + t2

Answer 1

Hi,

Answer: ${t}^{2} - t + 4$

Solution:
*******************************************************

Any polynomial when written in standard form,always be written in ascending order.

Here

${t}^{2} - t + 4 \\ \\ {t}^{2} + 4 - t \\ \\ 4 + {t}^{2} - t \\ \\ 4 - t + {t}^{2}$
Out of all written above we can see that highest degree is 2, then there must be degree 1 and then zero

This flow is shown in ${t}^{2} - t + 4$
only.

**************************************************************

Hope it helps you.

Answer 2

$a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+.......+a_0$ is polynomial only when power of all x contained in expression should be whole number.
and any polynomial polynomial is said to be in ascending order only when exponent is in ascending order.
for example :- 1 + 2x + 3x² are in ascending order.


here, 4 - t + t² are in ascending order because exponent {0, 1 , 2} are in ascending order.