Rewrite the following polynomial in standard form.2, minus, 8, x, minus, start fraction, x, squared, divided by, 5, end fraction2−8x− 5x 2
Question
Rewrite the following polynomial in standard form.2, minus, 8, x, minus, start fraction, x, squared, divided by, 5, end fraction2−8x− 5x 2
Solution
The polynomial in standard form is: -1/5x^2 - 8x + 2.
Here's the step-by-step process:
- Identify the terms of the polynomial: 2, -8x, -x^2/5.
- Arrange the terms in descending order of their degree. The degree of a term is the exponent of its variable. In this case, -x^2/5 has the highest degree (2), -8x has degree 1, and 2 has degree 0 (since x^0 = 1).
- Write the terms in this new order: -x^2/5 - 8x + 2.
- Simplify the fraction if possible. In this case, it's already simplified.
- The result is the polynomial in standard form: -1/5x^2 - 8x + 2.
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