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)

Option D :

Step-by-step explanation:

Given :

Solution:

Option A:

solving this

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

Hence this wrong option

Option B:

solving this

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

Hence this wrong option

Option C:

Solving this

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

Hence this wrong option

Option D :

Solving this

Since we are getting the given expression after solving this option

Hence Option D is correct

it's both, now can you answer my most recent question?

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.