Question

Stefan evaluated the sum of the polynomials 3x⁴−6x²−4x−9 and x⁴−3x²−10x+2. What is the simplified form of the sum?

a) 8x⁴−3x²−14x−7
b) 8x⁴−3x²+14x−7
c) 8x⁴−3x²+14x+7
d) 8x⁴−3x²−14x+7

Answer 1

The simplified form of the sum is 8x⁴−3x²−14x−7.

Step-by-step explanation:

The simplified form of the sum is 8x⁴−3x²−14x−7 (option d).

To find the sum of the polynomials, we add the corresponding terms. The sum of the constant terms is -9 + 2 = -7. The sum of the x terms is -4x - 10x = -14x. The sum of the x² terms is -6x² - 3x² = -9x². The sum of the x⁴ terms is 3x⁴ + x⁴ = 4x⁴.

Therefore, the simplified form of the sum is 4x⁴ - 9x² - 14x - 7 (option d).