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Answer :
Final answer:
The term 'standard form' in the context of polynomials typically refers to ordering the terms from highest degree to lowest degree. Therefore, the polynomial x3 – 7x + 7x5 – 19 + x2 in standard form becomes 7x5 + x3 + x2 - 7x - 19.
Explanation:
The polynomial you provided, x3 – 7x + 7x5 – 19 + x2, can be rewritten in standard form by rearranging its terms from highest degree to lowest degree. The degree of a term is the exponent of its variable. So, for this polynomial, the term with the highest degree is 7x5. Therefore, the standard form of this polynomial is:
7x5 + x3 + x2 - 7x - 19
So, when ordered by degree from highest to lowest, the polynomial's terms reorder to form its standard form.
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