Perfect Square Trinomials and Quadratics

This video tutorial explains perfect square trinomials, which are trinomials that factor into two equal binomial factors. It covers how to form these trinomials by developing a relationship between the coefficients B and C. The tutorial provides examples to verify the process and discusses the importance of completing the square in solving quadratic equations. It concludes with challenging examples to reinforce the concept.

What is a perfect square trinomial?

• A trinomial with no constant term

• A trinomial that can be factored into two equal binomials

• A trinomial with a degree of three

• A trinomial that can be factored into two different binomials

In the expression x^2 + BX + C, what does the constant term C represent?

• The sum of the coefficients of the quadratic and linear terms

• The square of the coefficient of the linear term

• The product of the linear term and the quadratic term

• The square of half the coefficient of the linear term

If B = 10 in a trinomial, what is the value of C to make it a perfect square trinomial?

• 50

• 5

• 25

• 100

Why is it important to understand perfect square trinomials when solving quadratic equations?

• They eliminate the need for the quadratic formula

• They simplify the process of finding roots using square roots

• They make the equation linear

• They always result in a positive solution

What is the vertex of a parabola if the quadratic equation is in the form of a perfect square trinomial?

• The point where the parabola intersects the x-axis

• The point where the parabola intersects the y-axis

• The highest or lowest point on the parabola

• The midpoint of the parabola

For a trinomial with B = 6, what is the value of C to complete the square?

• 36

• 3

• 9

• 12

How do you factor a perfect square trinomial with a constant term of 16?

• (x - 8)(x - 8)

• (x + 4)(x + 4)

• (x + 8)(x + 8)

• (x - 4)(x - 4)

What is the value of C for a trinomial with B = -1 to make it a perfect square?

• 1/8

• 1/2

• 1/4

• 1

If B = 2/3, what is the value of C to form a perfect square trinomial?

• 1/9

• 1/3

• 2/9

• 2/3

What is the factored form of a trinomial with B = 2/3 and C = 1/9?

• (x + 2/3)^2

• (x - 1/3)^2

• (x + 1/3)^2

• (x - 2/3)^2