How to find the value c that completes the square of a quadratic, x^2 - 20x + c

The video tutorial explains how to complete the square for a trinomial to form a perfect square. It begins by introducing the concept of finding the value C that completes the trinomial. The process involves taking half of the coefficient B, squaring it, and using this value to form a perfect square trinomial. The tutorial then demonstrates how to factor the trinomial into its factored form and discusses the vertex form of the equation. The lesson concludes with a brief Q&A session.

What is the first step in completing the square for a trinomial of the form ax^2 + bx + c?

• Multiply the coefficient of x by 2 and square it.

• Divide the coefficient of x by 2 and square it.

• Add the coefficient of x to the constant term.

• Subtract the constant term from the coefficient of x.

In the example given, what is the value of C that completes the square for the trinomial x^2 - 20x + c?

• 400

• 200

• 100

• 50

Which of the following is the factored form of the trinomial x^2 - 20x + 100?

• (x - 5)(x - 5)

• (x + 5)(x + 5)

• (x - 10)(x - 10)

• (x + 10)(x + 10)

How can the expression (x - 10)^2 be expanded?

• x^2 - 20x + 100

• x^2 + 20x + 100

• x^2 - 10x + 50

• x^2 + 10x + 50

What is the vertex form of a quadratic equation related to completing the square?

• (x + b/2)^2

• x^2 + bx + c

• ax^2 + bx + c

• (x - b/2)^2