Factoring Quadratics with the X Method

The video tutorial covers the process of factoring quadratic trinomials of the form ax^2 + bx + c. It introduces the concept of using the product of a and c to find factors that add up to b. The tutorial provides step-by-step examples, demonstrating how to simplify fractions and construct binomials using the 'bottoms up' method. The video includes multiple examples with varying coefficients to illustrate the factoring process comprehensively.

What is the general form of a quadratic trinomial?

• ax^2 + bx + c

• ax + c

• ax^2 + bx

• bx + c

What do you multiply together to find the number that goes on top in the factoring method?

• a and c

• b and c

• a and b

• c and a

In the first example, what are the factors of 60 that add up to 16?

• 2 and 30

• 3 and 20

• 5 and 12

• 6 and 10

How do you simplify 6 over 4 in the factoring process?

• 2 over 3

• 3 over 2

• 1 over 2

• 1.5

What is the simplified form of 10 over 4?

• 5 over 2

• 2 over 5

• 2.5

• 5 over 4

What is the result of applying the factoring method to 4x^2 + 16x + 15?

• (2x + 15)(x + 1)

• (4x + 3)(x + 5)

• (2x + 3)(2x + 5)

• (x + 3)(x + 5)

In the second example, what product of two numbers equals 18 and their sum equals 11?

• 4 and 14

• 1 and 18

• 3 and 6

• 2 and 9

How is the factor pair for the third example simplified?

• 3 over 2 and 4

• 3 and 4 over 2

• 3 over 2 and 4 over 2

• 3 and 4

What is the 'bottoms up' method used for in factoring?

• To find the original equation

• To simplify fractions

• To combine like terms

• To write the binomials for multiplication

What does the 'bottoms up' method involve?

• Adding the bottom numbers

• Starting with the highest degree term

• Working from the simplified fractions upwards

• Multiplying the bottom numbers first