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Because they're not physically meaningful. For example, if you have an equation which tells you how many widgets you need to make to maximize your profit and it tells you could could either make 12 or -4, you're going to have a hard time making negative four widgets.

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9y ago

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When a solution set to a real world problem involving polynomials contains both positive and negative solutions why are the negative solutions often discarded?

The negative solutions are often discard because they have no real meaning in the real world, for example, you can not have -6 apples, it just doesn't make sense.


When a solution set to a real-world problem involving polynomials contains both positive and negative solutions why are the negative solutions often discarded?

Because in real world problems, you cannot have answers such as "-3 people", "-4.56 minutes", "a shoe size of -9" etc... It is not logical.


When a solution is set to a real-world problem involving polynomials why are the negative solutions discarded?

They are not always discarded. However, there are some measures that cannot be negative: such as your age or mass or the length of a rectangular field. The reason for rejecting a negative solution depends on the context of the question.


The tiles method should not be used to factor linear and quadratic polynomials involving negative numbers?

true


Is negative integers are polynomials?

No.


Can a polynomial have a negative exponent?

Polynomials cannot have negative exponent.


How many real solutions does a quadratic function have when the value of its discriminant is seven?

If the discriminant is positive, as in this case, there are two real solutions.Also: * If the discriminant is zero, there is one real solution, considered to be a "double solution" because of the way polynomials are factored. * If the discriminant is negative, there are two complex solutions, which are complex and non-real.


How is adding polynomials like adding integers?

The numbers can have a positive or negative sign.


How is adding polynomials the same as subtracting polynomials?

just add the negative of the polynomial, that is the same as subtracting it. For example, x^2+2x is a poly, the negative is -x^2-2x. So if we want to subtract x^2+2x from another poly, we can add the negative instead.


If the discriminant is negative the equation has solutions?

As stated in the attached link, there are three possible discriminant conditions: Positive, Zero, or Negative. If the discriminant is negative, there are no real solutions but there are two imaginary solutions. So, yes there are solutions if the discriminant is negative. The solutions are imaginary, which is perfectly acceptable as solutions.


Are polynomials a closed set under addition?

Yes, polynomials are a closed set under addition. This means that if you take any two polynomials and add them together, the result will also be a polynomial. The sum of two polynomials retains the structure of a polynomial, as it still consists of terms with non-negative integer exponents and real (or complex) coefficients.


Is negative Pi a polynomial?

Negative pi is a monomial, or a polynomial with one term. Negative pi, as well as positive pi, are not often used as polynomials, but it is still perfectly reasonable to do so.