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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: How many solutions exist for the following system of equations?
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How many types of solutions of a system of two linear equations in two unknowns can exist?

There is only one type of solution if there are two linear equations. and that is the point of intersection listed in (x,y) form.

Do there exists solution of all types of differential equations?

No, analytical solutions do not always exist. That is to say, the answer need not be a function. However, it is possible to find numerical solutions.

When will a homogeneous system of equations be inconsistent?

A homogeneous system of eqs: Ax=0 will always be consistent, since x=0 is always a possible solution. However, if det(A)=0 then there will be infinite solutions, as |A|=0 implies that either no solutions or infinitely many exist, and it is impossible for no solutions to exist to Ax=0. If det(A) is non 0, then x=0 is the only solution, as |A| is not equal to 0 implies a unique solution only!(in this case x=0). Hope this helps!

Why are equations unbalanced?

Equations are balanced in chemistry (several exceptions exist).

Examples of solutions that exist in nature?

Solutions that exist in nature include oceans that have water and trace metals. Acid rain and petroleum are other solutions that exist in nature.

Can solutions exist as solids?


Can a system of linear equation have more than one solutions?

No. A linear equation represents a straight line and the solution to a set of linear equations is where the lines intersect; two straight lines can only intersect at most at a single point - two straight lines may be parallel in which case they will not intersect and there will be no solution. With more than two linear equations, it may be that they do not all intersect at the same point, in which case there is no solution that satisfies all the equations together, but different solutions may exist for different subsets of the lines.

Are solutions are always a liquid?

No, solid solutions also exist.

What would happen if you went through a wormhole?

Wormholes are not proven to exist. There are mathematical theories that they may, however there are several different solutions to the equations. The most likely is that you would simply disappear, effectively you would die. There are low probability solutions that you may emerge elsewhere or elsewhen but these solutions are by no means clear.

Why ferric ions do not exist in solution?

Ferric ions exist in solutions.

Does any homogeneous system have nontrivial solution?

x+y=0 2x+2y=0 This homogeneous system has infinitely many non-trivial solutions. If you are looking for exactly one non-trivial solution, no such system exists. the system may or may not have non trivial solution. if number of variables equal to number of equations and given matrix is non singular then non trivial solution does not exist

What math equation did sonya kovalskaya figure out?

She did not figure out a particular equation but found the set of conditions under which solutions to a class of partial differential equations would exist. This is now known as the Cauchy-Kovalevskaya Theorem.

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