Question

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

Answer 1

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

answer is b. 6x3 + 3x + 2

Answer 2

Option (b) is correct.

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.