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4/12 write the following polynomial in standard form. $a^{4}+5a^{2}-2b^…

Question

4/12
write the following polynomial in standard form.
$a^{4}+5a^{2}-2b^{3}-3ab$

Explanation:

Step1: Order by descending degree of $a$

First, identify terms by the exponent of $a$:

  • Term with $a^4$: $a^4$
  • Term with $a^2$: $5a^2$
  • Term with $a^1$: $-3ab$
  • Term with no $a$: $-2b^3$

Step2: Arrange the terms

Place terms in descending order of $a$'s exponent.

Answer:

$a^4 + 5a^2 - 3ab - 2b^3$