Question

What is the missing expression? x8 + 3x5 = x5(_____) x + 3 x 2 + 3 x 3 + 3

Answer 1

Question:

What is the missing expression?
`x^8+3x^5=x^5`(______)

Option A:
`x+3`

Option B:
`x^2+3`

Option C:
`x^3+3`

Answer:

Option C:

The missing expression is
`(x^3+3)`.

Solution:

Given expression is
`x^8+3x^5`.

Let us factor the given expression.

There are 2 terms in the expression.

Take out common terms in each of the expression.

`x^8+3x^5=x^5(x^(8-5)+3x^(5-5))` (use radical rule)

`=x^5(x^3+3x^0)` (use radical rule)

`=x^5(x^3+3)`

`x^8+3x^5=x^5(x^3+3)`

Hence the missing expression is
`(x^3+3)`.