Write the polynomial in standard form. Then classify the polynomial by degree and by number of terms.
6x^4+8x^4-7x^4
The polynomial in standard form is:
6x^4 + 8x^4 - 7x^4
Next, let's combine like terms to simplify the expression:
6x^4 + 8x^4 - 7x^4 = (6 + 8 - 7)x^4 = 7x^4
The simplified polynomial in standard form is 7x^4.
Now, let's classify the polynomial.
By degree: The polynomial has a degree of 4, since the highest power of x is 4.
By number of terms: The polynomial has only one term, which is 7x^4.
Therefore, the classification of the polynomial is:
Degree: 4
Number of terms: 1