Question

Write the polynomial in standard form. Then classify the polynomial by degree and by number of terms.

7x² +9x² - 6x²
Write the polynomial in standard form.
(Simplify your answer.)

Answer 1

The polynomial in standard form is 7x² + 9x² - 6x². Combining like terms, we get 10x². This is a polynomial of degree 2 (since the highest exponent of the variable x is 2) and has only one term. So it’s a monomial.

Answer 2

Explanation:

When we combine like terms, we get:

7x² +9x² - 6x² = (7+9-6)x² = 10x²

So the polynomial in standard form is 10x².

The degree of the polynomial is 2 (since the highest power of the variable x is 2) and the number of terms is 1 (since there is only one term). Therefore, we classify this polynomial as a quadratic monomial.