Completing the Square Quiz

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Questions and Answers

What is the process of completing the square used for?

Solving quadratic equations (correct)
Factoring polynomials
Solving linear equations
Solving cubic equations

What is the result of completing the square for a quadratic equation?

A perfect square trinomial (correct)
A cubic equation
A linear equation
An irrational number

In completing the square, what value is added and subtracted to the quadratic equation?

Twice the coefficient of the x-term
The constant term
The coefficient of the x-term
Half the coefficient of the x-term (correct)

Explain the process of completing the square for a quadratic equation.

To complete the square for a quadratic equation, first ensure the coefficient of x^2 is 1. Then, halve the coefficient of x, square the result, and add/subtract it to the equation to create a perfect square trinomial. Signup and view all the answers

What is the purpose of completing the square?

Completing the square is used to transform a quadratic equation into a form that makes it easier to solve, particularly by factoring or using the quadratic formula. Signup and view all the answers

What is added and subtracted when completing the square for a quadratic equation?

When completing the square, half the coefficient of x is added and subtracted to the quadratic equation to create a perfect square trinomial. Signup and view all the answers

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