Write the polynomial in standard form. then name the polynomial based on its degree and number of terms. 3x + 2x2 – 6

So writing a polynomial in standard form is just combining all like terms and then rearranging those terms in descending order of degree. In this case, the term with the highest degree is 2x^2, then 3x, then -6, so our standard form polynomial is

Next, since there are three terms in this polynomial, this would be classified as a trinomial (tri = 3). Now to find the degree of this polynomial, just take the total number of exponents from the highest term, which in this case its 2x^2 with a total of 2. Putting it all together, this polynomial is a 2nd degree trinomial.

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus