Question

2. Write 7 - 3x³ + x² - 2x4 in standard form and classify the polynomial by degree

and number of terms.

Answer 1

To write the polynomial in standard form, arrange the terms in descending order of degree. The polynomial 7 - 3x³ + x² - 2x⁴ becomes -2x⁴ - 3x³ + x² + 7. It has four terms and a degree of 4.

Step-by-step explanation:

To write the polynomial 7 - 3x³ + x² - 2x⁴ in standard form, we arrange the terms in descending order of degree. So the polynomial becomes -2x⁴ - 3x³ + x² + 7. It has four terms.

The degree of a polynomial is determined by the term with the highest exponent. In this case, the term with the highest exponent is -2x⁴, so the degree of the polynomial is 4.

Learn more about Writing polynomials in standard form