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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: Can a graph be used to determine the number of solutions an equation has?
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How can a graph be used to determine how many solutions an equation has?

Count the number of many times the graph intersects the x-axis. Each crossing point is a root of the equation.

A graph of the set of ordered pairs that are solutions of the equation?

Graph of an equation.

How are equation and graphs related?

The graph of an equation represents the solution set of the equation, that is all the solutions of the equation are points that lie on the graph and all the points that lie on the graph are solutions of the equation.

How are the graph of an equation and the set of all solutions of an equation related?

The coordinates of every point on the graph, and no other points, are solutions of the equation.

An equation where the graph of all solutions lies on a line?

If it is a straight line, then the equation is linear.

How do you determine the solutions on a graph for a quadratic equation?

The X-Intercepts are the solutions. If you have an algebra calculator, you can usually find them by going to CALC>Zero>enter the left and right boundaries for each side.

How are the real solutions of a quadratic equation related to the graph of the quadratic function?

The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.

What has an infinite number of solutions?

A single equation in two variables is, for example. Its graph is a line, and every point on the line is a solution.

What is an equation where the graph of all solutions lies on a line?

There are an infinite number of equations that meet that requirement. One of them is y = x

What does the graph of a line represent?

It represents all solutions to the linear equation.

An equation where the graph of all solutions lies on a line is called?


How you find the solution of a quadratic equation by graphing its quadratic equation?

When you graph the quadratic equation, you have three possibilities... 1. The graph touches x-axis once. Then that quadratic equation only has one solution and you find it by finding the x-intercept. 2. The graph touches x-axis twice. Then that quadratic equation has two solutions and you also find it by finding the x-intercept 3. The graph doesn't touch the x-axis at all. Then that quadratic equation has no solutions. If you really want to find the solutions, you'll have to go to imaginary solutions, where the solutions include negative square roots.

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