Complete Question:
Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x) They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.
Answer:

Step-by-step explanation:
<em>See comment for complete question</em>
Given


Required
Determine how they can show if the products are the same or not
To do this, we simply factorize each polynomial
For, Polynomial A: We have:

Factor out 4x

Apply difference of two squares on x^2 - 4

For, Polynomial B: We have:

Expand x^2 + x - 2

Factorize:

Factor out x + 2

Factor out 4x

Rearrange

The simplified expressions are:
and

Hence, both polynomials are equal

The vertex to this question is (6, -31)
A polynomial is defined as a collection of variables and constant terms combined by various mathematical operations. The exponents of the variables in a polynomials must be non-negative integers.
If you observe the given options, one of the option (option B) contains a negative exponent. Hence the expression in option B is not a polynomial.
Answer:
(2) 6x^2+40x +50
Step-by-step explanation:
(4x+10)*(2x+5) = 8x^2 +40+50
minus 2x^2
=6x^2 +40 +50