Write the polynomial in standard form then name the polynomal based on its degree and number of terms 2-11x2-8x + 6x2

Write the polynomial in standard form then name the polynomal based on its degree and number of terms 2-11x²-8x + 6x²

Standard form: -5x²- 8x + 2

name: Quadratic polynomial

Given polynomial

2-11x²-8x + 6x²

To write this polynomial in standard form,

i. First simplify it

Collect like terms

2 - 11x² + 6x² - 8x

Add the second and fourth terms

2 - 5x² - 8x

ii. Arrange the terms in the polynomial in order of decreasing order of x.

In other words, the term which has the highest order of x is written first followed by the term with the next highest order of x and so on.

In this case, the term with the highest order of x is the second term which is given by -5x² followed by -8x and then 2.

Therefore, the standard form of the given polynomial is

-5x²- 8x + 2

The degree of a polynomial which is in standard form is the order of its first term.

In this case, the order of the first term is 2. This means that the degree of the polynomial is 2.

Since the degree of the polynomial is 2 and it has three terms, this is a quadratic polynomial.

∠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.

2,160 π

step-by-step explanation: