Question

(3x^4 +4)+ (3x^2-x^4) this is adding ans subtracting polynomials. what is the answer?

A) 5x^6 + 4
B) 2x^4 + 3x^2 + 4
C) 3x^6 + 7
D) 6x^2 - 5x^4

Answer 1

To add and subtract polynomials, combine like terms by grouping them and simplifying. The answer is 2x^4 + 3x^2 + 4.

Step-by-step explanation:

To add and subtract polynomials, you combine like terms. In this case, the given expression is (3x^4 +4) + (3x^2-x^4). First, group the like terms: 3x^4 and -x^4, and 3x^2. The constant term 4 remains as it is. Simplify each group of like terms separately: (3x^4 - x^4) + (3x^2) + 4 = 2x^4 + 3x^2 + 4. Therefore, the answer is B) 2x^4 + 3x^2 + 4.