Ab-2=3c solve for b
2 answers:
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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
<h3>Answer: Choice B. </h3>
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Explanation:
You could use the formula
to plug in P = 1500, r = 0.02 and n = 12 to get the answer above. This is the compound interest formula. The interest rate r is divided into n = 12 to account for monthly compounding. The original exponent t turns into 12t. So for instance, if t = 2 years go by, then 12*t = 12*2 = 24 months have gone by.