Completing the Square Techniques

The video tutorial covers various methods for solving quadratic equations, including factorization, using the quadratic formula, and completing the square. It emphasizes the importance of completing the square as a versatile tool for both solving and graphing quadratics. The tutorial provides a detailed example of completing the square, explaining the necessity of subtracting the square of the bracket number. It also addresses how to handle cases where the coefficient of x squared is not one. The video concludes with a preview of future parts that will explore solving and graphing quadratics using the completed square method.

Which of the following is NOT a method to solve quadratic equations?

• Factoring

• Graphing directly

• Using the quadratic formula

• Completing the square

Tags

CCSS.HSA-REI.B.4B

What is the first step in completing the square for the expression x^2 + 6x + 5?

• Take half of the x coefficient

• Subtract 5

• Square the x term

• Add 9

Tags

CCSS.HSA-REI.B.4B

After completing the square for x^2 + 6x + 5, what is the resulting expression?

• (x + 3)^2 + 5

• (x + 3)^2 - 4

• (x - 3)^2 + 4

• (x - 3)^2 - 5

Tags

CCSS.HSA-REI.B.4B

Why do we subtract the square of the number in the bracket when completing the square?

• To eliminate the constant term

• To make the equation linear

• To balance the equation

• To simplify the expression

Tags

CCSS.HSA.APR.C.5

What is the expanded form of (x + 3)^2?

• x^2 + 6x + 3

• x^2 + 3x + 9

• x^2 + 9x + 6

• x^2 + 6x + 9

Tags

CCSS.HSA-REI.B.4B

When the coefficient of x^2 is not 1, what is the first step in completing the square?

• Add the coefficient to x

• Factor out the coefficient

• Multiply the equation by the coefficient

• Ignore the coefficient

Tags

CCSS.HSA-REI.B.4B

What is the completed square form of 3x^2 - 12x + 2?

• 3(x + 2)^2 - 10

• 3(x - 2)^2 - 10

• 3(x + 2)^2 + 10

• 3(x - 2)^2 + 10

Tags

CCSS.HSA-REI.B.4B

What will be covered in part two of the series?

• Using the quadratic formula

• Factoring complex polynomials

• Graphing linear equations

• Using completing the square to solve quadratics

Tags

CCSS.HSA-REI.B.4B

What is the focus of part three in the series?

• Using the quadratic formula

• Factoring quadratics

• Solving linear equations

• Plotting quadratics using completing the square

Tags

CCSS.HSF-IF.C.7A

Which method helps in graphing quadratics more easily?

• Using linear equations

• Factoring

• Using the quadratic formula

• Completing the square

Tags

CCSS.HSF-IF.C.7A