Question

Factor 8x^5+4x^2−12

A. 8(x^5 + 4x^2 -12)
B. 4(2x^5 + 4x^2 -12)
C. 4x^2(2x^3 + x -3)
D. 4(2x^5 + x^2 - 3)

Answer 1

D) because only 4 is the common factor in the equation.

Answer 2

Option D :
`4(2x^(5) +x^(2) -3)`

Explanation:

Given :
`8x^(5) +4x^(2) -12`

Solution:

Option A:
`8(x^(5) +4x^(2) -12)`

solving this

`8x^(5) +32x^(2) -96`

Since we are not getting the given expression after solving this .

Hence this wrong option

Option B:
`4(2x^(5) +4x^(2) -12)`

solving this

`8x^(5) +16x^(2) -48`

Since we are not getting the given expression after solving this .

Hence this wrong option

Option C:
`4x^(2)(2x^(3) + x -3)`

Solving this

`8x^(5) + 4x^(3) -3x^(2)`

Since we are not getting the given expression after solving this .

Hence this wrong option

Option D :
`4(2x^(5) +x^(2) -3)`

Solving this

`8x^(5) + 4x^(2) -12`

Since we are getting the given expression after solving this option

Hence Option D is correct