Question

Please help!!

Create a polynomial with 3 terms, written in standard form.
how do you know it’s in standard form?

if you can explain it as well that would be great :)

Answer 1

In mathematics, a polynomial is a mathematical expression that is the sum of a number of terms that contain the same variable raised to different powers. These come up all the time in the study of mathematics, so it is important to be familiar with them and the different forms we can write them in.

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To write a polynomial in standard form, we make sure that any like terms are combined, and then we arrange the terms so that the exponents of each term go in descending order.

For example, consider the following polynomial:

• 8x - x⁵ + 2x + 3x² - 7x⁴ + 3

To write this polynomial in standard form, we first look for any like terms that need to be combined, where like terms are terms that have the same variable raised to the same power. We see that 8x and 2x are like terms, so we add these together to turn our polynomial into the following:

• 10x - x⁵+ 3x² - 7x⁴ + 3

Now, we just rearrange the polynomial so that the term with the highest degree goes first, the term with the second highest degree goes second, and so on until the polynomial is arranged so that the exponents go in descending order from highest to lowest.

• -x⁵ - 7x⁴+ 3x² + 10x + 3

This gives us our polynomial in standard form.

A polynomial with 3 terms : x² + 3x³ + 27 - x

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