Factoring Quadratic Trinomials Practice

Judy from the AP program introduces a lesson on factoring quadratic trinomials, emphasizing its importance in solving quadratic equations and finding zeros of functions. The video provides resources like problem sets and annotated solutions. Judy explains the factoring by grouping method, detailing steps and examples, including special cases without a leading coefficient. The lesson concludes with encouragement to build confidence in pre-calculus skills.

What resources are available to help you practice factoring quadratic trinomials?

• Online quizzes and flashcards

• A textbook and a workbook

• A problem set and an annotated solution set

• Only this video tutorial

Why is factoring considered an efficient method for solving quadratic equations?

• It reduces the degree of the polynomial

• It simplifies the equation to a linear form

• It helps in finding the zeros of a quadratic function

• It eliminates the need for a calculator

What is the first step in factoring quadratic polynomials by grouping?

• Multiply a by c

• Divide the polynomial by its leading coefficient

• Write the expression in standard form

• Find the sum of the coefficients

In the example of factoring 2x^2 + 11x + 5, what is the product of a and c?

• 15

• 11

• 10

• 5

When factoring by grouping, what should the binomials in the parentheses be?

• Different

• Opposite

• Simplified

• Identical

In the example of factoring 9x^2 + 15x + 4, what are the numbers that add up to 15?

• 3 and 12

• 1 and 14

• 6 and 9

• 5 and 10

What is the final factored form of 9x^2 + 15x + 4?

• (3x + 1)(3x + 4)

• (3x + 2)(3x + 3)

• (3x + 5)(3x + 6)

• (3x + 7)(3x + 8)

In the special case of factoring x^2 - 5x + 6, which pair of factors adds up to -5?

• 1 and 6

• 2 and 3

• -2 and -3

• -1 and -6

For the trinomial x^2 + 12x + 20, which pair of numbers are the factors of 20 that add up to 12?

• 4 and 5

• 1 and 20

• 3 and 7

• 2 and 10

What is the factored form of x^2 + 3x - 18?

• (x - 2)(x + 9)

• (x + 2)(x - 9)

• (x - 3)(x + 6)

• (x + 3)(x - 6)