Which polynomial is prime? 3x3 + 3x2 – 2x – 2 3x3 – 2x2 + 3x – 4 4x3 + 2x2 + 6x + 3 4x3 + 4x2 – 3x – 3

Step-by-step explanation:

We know that a polynomial is said to be prime if it does not factorize into polynomials.

1.

This is not prime as it can factorize.

2.

are not same , thus we cannot factorize the above polynomial.

Therefore this polynomial is prime.

3.

This is not prime as it can factorize.

4.

This is not prime as it can factorize.

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step-by-step explanation:

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∠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.