Is the expression a polynomial? If yes, write in standardform, if not state why not
1 answer:
Answer:
Step-by-step explanation:
1) Not a polynomial. Because x² is in the denominator.
2) Yes, it is a polynomial.
Standard form: 5x² + 2x - 99
3) Not a polynomial.
.
Power of x is a fraction. so , it is not a polynomial.
4) Power of x is (-2). Power of x should not be a negative integer. SO, it is not a polynomial.
5) Yes:
Standard form: -3x⁴ + 12x² + 7x
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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