Factoring and Solving Trinomials

The video tutorial explains how to factor trinomials with a leading coefficient of one. It introduces the concept of trinomials and demonstrates the use of the FOIL method to multiply binomials. The tutorial identifies patterns in binomial multiplication that can be used to factor trinomials. Several examples are provided to illustrate the process. The video also covers solving equations using the zero product property, emphasizing the importance of setting equations to zero and factoring them to find solutions.

What is the first step in factoring trinomials with a leading coefficient of one?

• Set the equation to zero

• Multiply the terms

• Use the quadratic formula

• Identify the GCF

When using the FOIL method, what does the 'O' stand for?

• Outer

• Only

• Other

• Order

In the pattern x^2 + bx + c, what does 'b' represent?

• The quotient of the binomial terms

• The product of the binomial terms

• The sum of the binomial terms

• The difference of the binomial terms

What is the product of the binomial terms in the trinomial x^2 - 8x + 15?

• 15

• 8

• 23

• -8

What is the purpose of setting up an 'X' when factoring trinomials?

• To visualize the factors

• To solve the equation

• To check for errors

• To simplify the terms

Which pair of numbers multiplies to 14 and adds to 9?

• 1 and 14

• 4 and 10

• 2 and 7

• 3 and 11

What should you always check for first when factoring trinomials?

• The greatest common factor (GCF)

• The sum of the terms

• The leading coefficient

• The quadratic formula

What are the factors of the trinomial x^2 - 5x + 4?

• x - 2 and x - 2

• x + 2 and x + 2

• x - 1 and x - 4

• x + 1 and x + 4

What is the first step in solving an equation using the zero product property?

• Factor the trinomial

• Set the equation equal to zero

• Find the GCF

• Multiply the terms

What are the solutions to the equation 2x^2 - 8x - 24 = 0?

• x = 3 and x = -8

• x = 4 and x = -6

• x = 6 and x = -2

• x = 2 and x = -12