Solving by Completing the square by factoring out a negative one

The video tutorial explains how to complete the square to find X intercepts. It begins with isolating terms to form a perfect square trinomial, factoring out coefficients, and adjusting the trinomial. The process involves dividing the middle term by two, squaring it, and adding/subtracting it within the trinomial. The tutorial highlights common mistakes, such as not factoring out negative coefficients. Finally, it demonstrates solving for X intercepts by taking the square root and adjusting the equation.

What is the first step in completing the square?

• Multiplying by the coefficient

• Isolating the X terms

• Subtracting the constant term

• Finding the X intercepts

Why is it important to factor out the coefficient of X^2?

• To simplify the equation

• To eliminate the constant term

• To find the X intercepts

• To ensure the coefficient is 1

What is the purpose of adding and subtracting B/2 squared in the trinomial?

• To change the sign of the terms

• To form a perfect square trinomial

• To eliminate the X term

• To simplify the equation

What common mistake do students make when completing the square?

• Forgetting to multiply by the constant

• Not isolating the X terms

• Not factoring out the coefficient

• Adding instead of subtracting B/2 squared

How do you convert a perfect square trinomial into a binomial square?

• By subtracting the constant term

• By adding the constant term

• By using the middle term's sign and B/2

• By multiplying by the coefficient

What is the next step after forming a binomial square to find X intercepts?

• Add the constant term

• Take the square root of both sides

• Multiply by the coefficient

• Subtract the X term

What are the X intercepts of the equation after completing the square?

• X = 2 ± sqrt(5)

• X = -2 ± 5

• X = 2 ± 5

• X = -2 ± sqrt(5)