Completing the Square Quiz

What is the first step in completing the square for a basic quadratic equation?

• Divide the coefficient of x by 2 and square it

• Multiply the coefficient of x by 2

• Subtract the constant term from both sides

• Add the coefficient of x to the constant term

In the basic example, what was the resulting expression after factoring?

• x - 3^2 + 9 + 1

• x + 3^2 - 9 - 1

• x + 3^2 + 9 - 1

• x - 3^2 - 9 + 1

When completing the square with fractions, what is the result of squaring -17/16?

• 289/256

• 289/16

• 17/256

• 17/16

How do you handle a fraction when completing the square?

• Ignore it and proceed with the equation

• Convert it to a decimal

• Multiply it by the constant term

• Add and subtract it from the equation

What is the first step when 'a' is not equal to one in a quadratic equation?

• Divide 'a' by the coefficient of x

• Add 'a' to both sides

• Factor out 'a' from the equation

• Multiply 'a' by the constant term

After factoring out 'a', what is the next step in completing the square?

• Add 'a' back to the equation

• Divide the coefficient of x by 2 and square it

• Multiply the entire equation by 'a'

• Subtract 'a' from the constant term

What should you do after completing the square inside the brackets?

• Add the constant term to both sides

• Subtract the constant term from both sides

• Distribute 'a' back to the equation

• Multiply the entire equation by 2

How do you simplify the expression 2/6 in the context of completing the square?

• Leave it as is

• Multiply it by 3

• Add it to the constant term

• Convert it to 1/3

What is the final step in completing the square when 'a' is not equal to one?

• Distribute 'a' to the terms outside the brackets

• Subtract 'a' from the coefficient of x

• Add 'a' to the constant term

• Multiply the entire equation by 'a'

What is the purpose of completing the square in a quadratic equation?

• To find the roots of the equation

• To simplify the equation to a linear form

• To convert the equation to vertex form

• To eliminate the constant term