Factoring Trinomials and FOIL Method

This video tutorial explains how to factor trinomials with a leading coefficient of 1, a fundamental concept in beginning algebra. It provides two examples: factoring x^2 - 14x + 24 and x^2 - 4x - 21, demonstrating the process of finding two numbers that multiply to the constant term and add to the linear coefficient. The video emphasizes the importance of organizing work systematically and checking the factored form using the FOIL method. It concludes with tips for mastering the skill of factoring trinomials.

What is the form of a trinomial with a leading coefficient of 1?

• x^2 + ax + b

• ax^2 + bx + c

• ax^2 + bx + 1

• x^2 + bx + c

In the trinomial x^2 - 14x + 24, what is the product of the two numbers we need to find?

• 24

• -24

• 14

• -14

What is the sum of the two numbers needed for the trinomial x^2 - 14x + 24?

• 14

• -14

• 24

• -24

Which pair of numbers multiplies to 24 and adds to -14?

• 1 and 24

• 2 and 12

• -1 and -24

• -2 and -12

What is the factored form of x^2 - 14x + 24?

• (x + 2)(x - 12)

• (x - 2)(x + 12)

• (x - 2)(x - 12)

• (x + 2)(x + 12)

What is the product of the two numbers needed for the trinomial x^2 - 4x - 21?

• 21

• -21

• -4

• 4

What is the sum of the two numbers needed for the trinomial x^2 - 4x - 21?

• -4

• 4

• -21

• 21

Which pair of numbers multiplies to -21 and adds to -4?

• 3 and -7

• -1 and 21

• -3 and 7

• 1 and -21

What is the factored form of x^2 - 4x - 21?

• (x + 3)(x + 7)

• (x - 3)(x + 7)

• (x - 3)(x - 7)

• (x + 3)(x - 7)

What is the first step in verifying the factored form of a trinomial?

• Use the FOIL method

• Multiply the terms

• Add the terms

• Divide the terms