Choose the correct sum of the polynomials (2x3 − 5x − 1) + (4x3 + 8x + 3).
   a2x3 − 3x − 4
 b6x3 + 3x + 2
 c2x3 + 3x + 2
  d6x3 − 3x − 2

Verified Answer :

(2x3 − 5x − 1) + (4x3 + 8x + 3)
=6x^3 +3x +2

answer is 
 b. 6x3 + 3x + 2

Answer:

Option (b) is correct.

Step-by-step explanation:

Given: Polynomial \(2x^3-5x-1\) and \(4x^3+8x+3\)

We have to find the sum of given polynomial and choose the correct option from given options.

Consider the given Polynomial \(2x^3-5x-1\) and \(4x^3+8x+3\)

We have to find the sum that is \(2x^3-5x-1+(4x^3+8x+3)\)

Apply plus minus rule \(+(-a)=-a\)

We have,

\(2x^3-5x-1+4x^3+8x+3\)

Now adding like terms, we have,

Like terms are terms having same variable with same degree.

\((4+2)x^3+(8-5)x-1+3\)

Simplify , we have,

\(6x^3+3x+2\)

Thus, option (b) is correct.