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# which of the following is a polynomial?

Which of the following is a polynomial?

A.(x6 - 4)/(x-5 + 1)

B.x-2 - 1

C.x4 - 2

D.x-x + 2

### 2 Answers

- ?Lv 78 years agoFavorite Answer
As written, all but the first.

A is the ratio of two polynomials.

_____

If you intend exponents, as in the following

A. (x^6 - 4)/(x^-5 + 1) ... not a sum of monomials

B. x^-2 - 1 ... negative exponent

C. x^4 - 2

D. x^-x + 2 ... non-integer exponent

then only C meets the requirements of the definition of a polynomial.

Source(s): http://en.wikipedia.org/wiki/Polynomial - margeretLv 44 years ago
First factor out -a million to make it much less complicated to handle the factorization technique. Then factor the ensuing polynomial. -(3s² +10s - 8) = -(3s - 2)(s + 4). Now, for the reason that we factored out -a million to make the polynomial much less complicated to factor, we are able to placed it lower back lower back by ability of multiplying the two between the climate by ability of it. apparently a number of the different responders forgot this little element. we additionally will swap the order of the words and bring an identical consequence. -(3s - 2)(s + 4) = (-3s + 2)(s + 4) = (2 - 3s)(s + 4) -(3s - 2)(s + 4) = (3s - 2)(-s - 4) interior the final equation, there is not any element in switching the order of the words of the 2nd factor on the ideal area, because of the fact the two certainly one of them are adverse besides. we are able to examine to be certain if each and each of those expressions are equivalent because of ability of performing the indicated operations. (2 - 3s)(s + 4) = (3s - 2)(-s - 4) 2s + 8 - 3s² - 12s = -3s² -12s + 2s + 8 -3s² - 10s + 8 = -3s² - 10s + 8 So all the above expressions are such as one yet another.