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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

Respuesta :

(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 [tex]2x^3-5x-1[/tex] and [tex]4x^3+8x+3[/tex]

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

Consider the given Polynomial [tex]2x^3-5x-1[/tex] and [tex]4x^3+8x+3[/tex]

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

Apply plus minus rule [tex]+(-a)=-a[/tex]

We have,

[tex]2x^3-5x-1+4x^3+8x+3[/tex]

Now adding like terms, we have,

Like terms are terms having same variable with same degree.

[tex](4+2)x^3+(8-5)x-1+3[/tex]

Simplify , we have,

[tex]6x^3+3x+2[/tex]

Thus, option (b) is correct.