Answer :

To write the given polynomials in ascending order of [tex]x[/tex], we need to reorder the terms starting from the term with the lowest power of [tex]x[/tex] to the highest power.

Let's look at both given polynomials:

  1. Polynomial (a): [tex]2x^4 - 3x^2 + 5 - x^6[/tex]

    To rearrange this polynomial:

    • The constant term is [tex]5[/tex], which has the lowest power of [tex]x[/tex], essentially [tex]x^0[/tex].
    • The next term in order of increasing power is [tex]-3x^2[/tex].
    • Then we have [tex]2x^4[/tex].
    • The highest power term is [tex]-x^6[/tex].

    Thus, in ascending order of [tex]x[/tex], the polynomial is:

    [tex]5 - 3x^2 + 2x^4 - x^6[/tex]

  2. Polynomial (b): [tex]12x^4 - 3x^2 + 25 - x^6[/tex]

    To rearrange this polynomial:

    • The constant term is [tex]25[/tex], again [tex]x^0[/tex].
    • The next term in order of increasing power is [tex]-3x^2[/tex].
    • Then [tex]12x^4[/tex].
    • The highest power term is [tex]-x^6[/tex].

    Thus, in ascending order of [tex]x[/tex], the polynomial is:

    [tex]25 - 3x^2 + 12x^4 - x^6[/tex]

So, the rewritten polynomials in ascending order of [tex]x[/tex] are:

(a) [tex]5 - 3x^2 + 2x^4 - x^6[/tex]

(b) [tex]25 - 3x^2 + 12x^4 - x^6[/tex]

Thanks for taking the time to read 2 Write these polynomials in ascending order of x a 2x 4 3x 2 5 x 6b 12x 4 3x 2 25 x 6. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada