Completing the square by factoring out a negative one

The video tutorial explains the process of completing the square, especially when dealing with a negative coefficient in front of the X squared term. It covers the initial steps of placing parentheses around X terms, factoring out negatives, and forming a perfect square trinomial. The instructor demonstrates the B/2 squared method to complete the square and convert the trinomial into a binomial form. The tutorial concludes with finalizing the equation and ensuring the steps are correctly applied.

Why is it important to use parentheses around X terms when completing the square?

• To separate them from other terms

• To ensure correct order of operations

• To make the equation look neat

• To convert them into a different form

What is the first step when you have a negative in front of your X squared term?

• Ignore the negative sign

• Factor out the negative

• Multiply by a positive number

• Add a constant to both sides

What formula is used to create a perfect square trinomial?

• A^2 + B^2

• B/2 squared

• X^2 + 2X + 1

• B squared minus 4AC

Why do you add and subtract the same value when completing the square?

• To make it a perfect square

• To simplify the equation

• To eliminate the X term

• To balance the equation

What is the final form of the equation after completing the square?

• X squared minus 2X plus 1

• X plus H squared minus K

• X minus H squared plus K

• X squared plus a constant

How do you determine the sign in the binomial form?

• By the sign of the constant term

• By the sign of the middle term

• By the sign of the coefficient of X

• By the sign of the X squared term

What happens to the negative sign when you factor it out and complete the square?

• It is multiplied by the added constant

• It is ignored

• It is added back to the equation

• It is divided by 2