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Quadratic Equations and Coefficients Quiz
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Quadratic Equations and Coefficients Quiz

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Questions and Answers

In a quadratic equation, what do the coefficients a, b, and c represent?

The coefficients a, b, and c in a quadratic equation represent known numbers, where a ≠ 0. They are respectively called the quadratic coefficient, the linear coefficient, and the constant coefficient or free term.

What are the solutions of a quadratic equation called?

The values of x that satisfy the equation are called solutions of the equation, and roots or zeros of the expression on its left-hand side.

How many solutions does a quadratic equation have?

A quadratic equation has at most two solutions. If there is only one solution, one says that it is a double root.

What are the possible types of solutions for a quadratic equation with real coefficients?

<p>If all the coefficients are real numbers, there are either two real solutions, or a single real double root, or two complex solutions that are complex conjugates of each other.</p> Signup and view all the answers

What is the name of the formula that expresses the solutions of a quadratic equation in terms of a, b, and c?

<p>The quadratic formula expresses the solutions in terms of a, b, and c.</p> Signup and view all the answers

What is the formula that expresses the solutions of a quadratic equation in terms of $a$, $b$, and $c$?

<p>Quadratic formula</p> Signup and view all the answers

What is the maximum number of real solutions a quadratic equation can have?

<p>2</p> Signup and view all the answers

What is the term used for the values of $x$ that satisfy a quadratic equation?

<p>Solutions</p> Signup and view all the answers

If a quadratic equation has only one solution, what is it called?

<p>Double root</p> Signup and view all the answers

What is the term used for an equivalent equation obtained from factoring a quadratic equation?

<p>Factored form</p> Signup and view all the answers

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