Question

2.3 add the two polynomials ((4x^3 - 2x^2 + 6) + (4x^3 - 5x^2 + 2x - 1))
a (8x^3 + 2x - 5)
b (4x^6 - 10x^4 + 2x + 5)
c (8x^3 - 7x^2 + 2x + 5)
d (4x^3 - 10x^2 - 2x + 5)

Explanation:

Step1: Identify like terms

\(4x^3\) & \(4x^3\); \(-2x^2\) & \(-5x^2\); \(0x\) & \(2x\); \(6\) & \(-1\)

Step2: Combine like terms

\(4x^3 + 4x^3 = 8x^3\); \(-2x^2 -5x^2 = -7x^2\); \(0x + 2x = 2x\); \(6 -1 =5\)

Step3: Form the result

\(8x^3 -7x^2 +2x +5\)

Answer:

A. \(8x^3 - 7x^2 + 2x + 5\)