Factoring Trinomials and Strategies

This video tutorial focuses on factoring trinomials with large numbers. It begins with an introduction to the concept and provides examples of factoring trinomials with both positive and negative coefficients. The tutorial also covers factoring trinomials with larger numbers and those with non-unit leading coefficients. The video concludes with tips on how to approach factoring systematically by making lists and being organized.

What is the first step in factoring the trinomial x^2 + 20x + 96?

• Multiply 20 by 96.

• Subtract 20 from 96.

• Divide the trinomial by 2.

• Find two numbers that multiply to 96 and add to 20.

Which pair of numbers correctly factors x^2 - 6x - 135?

• 9 and 15

• 3 and 45

• 5 and 27

• 6 and 22

What is the result of factoring x^2 - 6x - 135?

• (x + 9)(x - 15)

• (x - 9)(x + 15)

• (x + 3)(x - 45)

• (x - 3)(x + 45)

What is the sum of the numbers that factor x^2 + 42x + 432?

• 42

• 48

• 36

• 54

Which pair of numbers correctly factors x^2 + 42x + 432?

• 20 and 22

• 12 and 36

• 16 and 27

• 18 and 24

What is the first step in factoring 12x^2 - 11x - 15?

• Subtract 12 from -15.

• Add 12 and -15.

• Multiply 12 by -15.

• Divide 12 by -15.

Which pair of numbers is used to factor 12x^2 - 11x - 15?

• 8 and -22

• 7 and -23

• 9 and -20

• 10 and -18

What is the result of factoring 12x^2 - 11x - 15?

• (3x - 5)(4x + 3)

• (4x - 5)(3x + 3)

• (3x + 5)(4x - 3)

• (4x + 5)(3x - 3)

What should you do if the leading coefficient is not 1?

• Divide the entire expression by the leading coefficient.

• Ignore the leading coefficient.

• Use factor by grouping.

• Add the leading coefficient to the constant term.

What is a key strategy mentioned for factoring trinomials?

• Always start with the largest number.

• Guess the numbers randomly.

• Make a list and be organized.

• Use a calculator for all steps.