Factoring a perfect square trinomial with fractions, boo ex 31, x^2 + x + 1/4

The video tutorial explains how to factor a perfect square trinomial. It begins by addressing the common hesitation with fractions and then identifies squared terms within the trinomial. The instructor demonstrates how to rewrite these terms and factor the trinomial into a product of binomials. The process is explained step-by-step, ensuring that the viewer understands how to handle each part of the trinomial. The tutorial concludes by summarizing the steps and confirming the trinomial as a perfect square.

What is the first step in factoring a trinomial with fractions?

• Ignore the fractions and proceed with factoring.

• Identify if the terms are squared terms.

• Convert the trinomial into a binomial.

• Multiply all terms by a common factor.

What is the significance of identifying squared terms in a trinomial?

• It is necessary for solving quadratic equations.

• It allows for the trinomial to be factored into a binomial.

• It helps in simplifying the trinomial.

• It makes the trinomial easier to graph.

How can 1/4 be expressed as a squared term?

• 1/4 * 1/4

• 1/2 * 1/2

• 1/3 * 1/3

• 2/4 * 2/4

What is the result of multiplying 1/2 * X + 1/2 * X?

• 2X

• X

• 1/2X

• 1/4X

What does a perfect square trinomial transform into?

• A binomial

• A polynomial

• A monomial

• A linear equation