Question

What is the highest degree for the expression (3x^2+4)(x^5-3)- (12x^9-24x)/3x+2 ?

a. 10
b. 7
c. 8
d. 9

Answer 1

The highest degree for the expression (3x^2+4)(x^5-3)- (12x^9-24x)/(3x+2) is 10.

Step-by-step explanation:

The highest degree for the expression (3x^2+4)(x^5-3)- (12x^9-24x)/(3x+2) is 10.

To find the highest degree, we need to simplify the expression and then identify the degree of the resulting polynomial.

Step 1: Simplify the expression using the distributive property.

(3x^2+4)(x^5-3)- (12x^9-24x)/(3x+2) becomes 3x^7 - 9x^2 + 4x^5 - 12x - 8x^8 + 24.

Step 2: Combine like terms to get 3x^7 - 8x^8 + 4x^5 - 9x^2 -12x + 24.

Step 3: The highest degree term is x^8, so the highest degree for the expression is 8.