Write the polynomial in standard form. Then name the polynomial based on its degree and
number of terms.
6x^2+ 6x^4β 2x^2
Sorry to burst your bubbles but, I NEED HELP?! NOT BUBBLES!
Sorry to burst your bubble Mr. Bobpursleyπ€¦ββοΈbut the answer you gave isn't part of the choices!π
Sorry to burst your bubble SBBT but he doesnt need the answers to do the math correctly he was simply wrong
To write the polynomial in standard form, we need to rearrange the terms in descending order of the exponents.
The given polynomial is:
6x^2 + 6x^4 - 2x^2
Rearranging the terms in descending order of exponents:
6x^4 - 2x^2 + 6x^2
Combining like terms:
6x^4 + (6x^2 - 2x^2)
Simplifying:
6x^4 + 4x^2
Therefore, the polynomial in standard form is 6x^4 + 4x^2.
Now, let's determine the degree and number of terms of this polynomial.
The degree of a polynomial is determined by the term with the highest exponent. In this case, the term with the highest exponent is 6x^4. Therefore, the degree of the polynomial is 4.
The number of terms in a polynomial is the count of all the different terms. In this case, there are two different terms: 6x^4 and 4x^2.
Therefore, we can name the polynomial based on its degree and number of terms as "a fourth-degree polynomial with two terms" or "a quadratic polynomial with two terms."