Factoring Trinomials and GCF

This video tutorial covers the basics of factoring trinomials in the form of ax^2 + bx + c, specifically when a equals 1. It explains the process of converting a trinomial from expanded form to factored form by identifying factors of c that add up to b. The tutorial includes several examples to illustrate the process and also discusses factoring trinomials with a greatest common factor. The video aims to provide a clear understanding of the steps involved in factoring trinomials.

What is the first step in factoring a trinomial where the leading coefficient is 1?

• Find the greatest common factor

• List all factors of the constant term

• Multiply the first and last terms

• Divide the middle term by the first term

When factoring x^2 + 8x + 12, what are the factors of 12 that add up to 8?

• 4 and 8

• 3 and 4

• 2 and 6

• 1 and 12

In the trinomial x^2 - 4x - 32, which pair of factors of -32 adds up to -4?

• -8 and 4

• -4 and 8

• -16 and 2

• -2 and 16

For the trinomial y^2 - 6y - 40, what is the correct pair of factors of -40 that add to -6?

• -5 and 8

• -10 and 4

• -4 and 10

• -8 and 5

What is the greatest common factor in the trinomial 3x^2 + 27x + 42?

• 3

• 9

• 6

• 12

When factoring x^2 + 28x + 75, which pair of factors of 75 adds up to 28?

• 1 and 75

• 3 and 25

• 5 and 15

• 10 and 7

In the trinomial y^2 - 6y - 40, what is the first step before factoring?

• Check if the trinomial is a perfect square

• List all factors of the constant term

• Find the greatest common factor

• Divide the middle term by the first term

What is the result of factoring out the greatest common factor in 2y^2 - 12y - 80?

• y^2 - 12y - 80

• 2y(y - 6) - 40

• 2(y^2 - 6y - 40)

• y^2 - 6y - 40

Which of the following is a correct factorization of x^2 - 4x - 32?

• (x + 4)(x - 8)

• (x - 8)(x + 4)

• (x - 4)(x + 8)

• (x + 8)(x - 4)

What is the correct factorization of y^2 - 6y - 40 after factoring out the GCF?

• (y + 4)(y - 10)

• (y - 4)(y + 10)

• (y + 10)(y - 4)

• (y - 10)(y + 4)