Question

Determine the degree of the product.
–2x² (4x³- 5x²)
A. -6
B. 6
C. 4
D. 5​

Answer 1

The degree of a polynomial is the term with the highest power.

Since x^n x x^m = x^m+n

-2x^2 • 4x^3 = -8x^5

So D. 5

Answer 2

D. 5

Explanation:

The degree of a polynomial is the number that the highest exponent is powered. If we were to expand this:

10x⁴ - 8x⁵

We see that our highest exponent is -8x⁵, so our degree is 5.