Use the grouping method to factor this polynomial completely.
483 + 8x2 + 3x + 6

  (4x² +3)(x +2)

Step-by-step explanation:

4x³ +8x² +3x +6 = (4x³ +8x²) +(3x +6)

  = 4x²(x +2) +3(x +2)

  = (4x² +3)(x +2)

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We assume you want real integers in the factors. Further factoring gets into complex irrational factors.

  (2x -i√3)(2x +i√3)(x +2)

∠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.

b i think

step-by-step explanation:

not really sure