Factoring and Least Common Denominators

The video tutorial explains how to factor expressions with fractional and decimal coefficients. For fractions, it involves factoring out the least common denominator, while for decimals, it involves factoring out powers of 10 until the coefficients are integers. The tutorial provides examples for both cases, demonstrating the process of factoring trinomials with these types of coefficients.

What is the first step when factoring expressions with fractional coefficients?

• Factor out the least common denominator

• Multiply all terms by 10

• Convert fractions to decimals

• Factor out the greatest common factor

What is the purpose of factoring out the least common denominator in fractions?

• To convert fractions to decimals

• To find the greatest common factor

• To simplify the expression

• To eliminate fractions

In the example with fractions, what is the least common denominator used?

• 6

• 5

• 3

• 2

What is the result of factoring out 1/6 from 1/2 x^2?

• x^2

• 3x^2

• 1/3 x^2

• 1/6 x^2

What is the least common denominator of 1/2, 1/3, and 5/6?

• 6

• 3

• 2

• 12

What is the result of factoring out 1/6 from 5/6?

• 5/6

• 5

• 1/6

• 1

What method is suggested for factoring trinomials with a leading coefficient greater than one?

• Box method

• Trial and error

• Graphing

• Synthetic division

Which of the following is a step in the box method?

• Divide the trinomial by the leading coefficient

• Draw a box and fill in terms

• Convert all terms to fractions

• Use synthetic division

When dealing with decimals in coefficients, what should you factor out?

• The least common multiple

• A power of 10

• The smallest decimal

• The largest decimal

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

• Find the least common denominator

• Convert decimals to fractions

• Factor out a power of 10

• Use the box method