Quadratic Equations and Factoring

The video tutorial explains how to factor and solve quadratic equations of the form X^2 + BX + C = 0, focusing on cases where the leading coefficient is 1. It provides detailed examples, including X^2 + 9X + 18 and X^2 - 11X + 24, demonstrating how to find binomial factors and solve for X. The tutorial emphasizes understanding the relationship between the factors of the constant term and the middle term's coefficient. It concludes with a summary of the key steps in factoring and solving quadratic equations.

What is the leading coefficient in the quadratic equation x^2 + bx + c = 0?

• 0

• 1

• b

• c

Which pair of numbers are the correct factors of 18 that add up to 9?

• 1 and 18

• 2 and 9

• 3 and 6

• 4 and 5

What is the product of the factors of 18 used in the equation x^2 + 9x + 18 = 0?

• 9

• 36

• 18

• 27

What are the solutions to the equation x^2 + 9x + 18 = 0?

• x = 3 or x = 6

• x = -3 or x = -6

• x = -3 or x = 6

• x = 3 or x = -6

In the equation x^2 + 9x + 18 = 0, what operation is used to solve for x after factoring?

• Addition

• Subtraction

• Multiplication

• Division

What is the first step in solving the equation x^2 + 24 = 11x by factoring?

• Add 11x to both sides

• Subtract 11x from both sides

• Multiply both sides by 11

• Divide both sides by x

Which pair of negative factors of 24 add up to -11?

• -1 and -24

• -2 and -12

• -4 and -6

• -3 and -8

What is the factored form of the equation x^2 - 11x + 24 = 0?

• (x - 3)(x - 8)

• (x + 4)(x + 6)

• (x - 4)(x - 6)

• (x + 3)(x + 8)

What are the solutions to the equation x^2 - 11x + 24 = 0?

• x = 3 or x = 8

• x = -3 or x = -8

• x = -3 or x = 8

• x = 3 or x = -8

What is the sum of the factors of 24 that are used in the equation x^2 - 11x + 24 = 0?

• 11

• -24

• -11

• 24