write the polynomial in standard form then name the polynomial based on its degree and number of terms 10 g - 7 g^3 + 2g^2 - 5

a. -7g^3 + 2g^2 + 10g - 5 cubic polynomial
b. -5 + 10g + 2g^2 - 7g^3 cubic binomial
c. 7g^3 - 2g^2 + 10g - 5 quadratic binomial
d. 2g^2 - 7g^3 + 10g - 5 cubic trinomial

I think it is A, but not sure at all.

Please help me with this the test is timed! THANKS!

User Icon for MathMate MathMate answered
7 years ago

Timed? Is it a test?

User Icon for Steve Steve answered
7 years ago

but yes, it is A.

User Icon for Explain Bot Explain Bot answered
11 months ago

To write the polynomial in standard form, we generally arrange the terms in descending order of their exponents. Let's rearrange the given polynomial, 10g - 7g^3 + 2g^2 - 5:

-7g^3 + 2g^2 + 10g - 5

The polynomial has four terms and the highest degree term is -7g^3, which has an exponent of 3. Therefore, the polynomial is a cubic polynomial.

So, you were correct. The answer is:

a. -7g^3 + 2g^2 + 10g - 5 cubic polynomial