kwizNET Subscribers, please login to turn off the Ads!
 Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

#### Online Quiz (WorksheetABCD)

Questions Per Quiz = 2 4 6 8 10

### High School Mathematics6.11 Solving Quadratic Equations by Method of Factorization

 Methods to solve a quadratic equation 1. The Factorization Method. 2. The Method of Solution by using Quadratic Formula. Factorization method: Example: Solve, 6x2 - 13x + 6 = 0. Solution: We shall solve 6x2 - 13x + 6 = 0 into factors. 6x2 - 13x + 6 = 6x2 - 9x - 4x + 6 = 3x(2x - 3) - 2(2x-3) = (3x - 2)(2x - 3) 3x - 2 = 0 and 2x - 3 = 0 Therefore, x = 2/3 or 3/2 Example: Solve, -3m2 + 7m - 2 = 0. Solution: We shall solve -3m2 + 7m - 2 = 0 into factors. -3m2 + 7m - 2 = -3m2 + 6m + 1m - 2 = 0 = 3m(-m + 2) + 1(m - 2) = 0 = 3m(-m + 2) - 1(-m + 2) = 0 = (3m - 1)(-m + 2) = 0 3m - 1 = 0 and -m + 2 = 0 Therefore, m = 1/3 or 2 Directions: Solve the following problems using factorization method. Also write at least five examples of your own. x2 - 7 = 9 11y2 = 11 x2 + 13 = 5 3x2 - 17x + 10 49x2 - 14x + 1 Show that the roots of the quadratic equation x2 + 3x - 18 = 0 are -6 and 3 Show that the roots of the quadratic equation 2t2 - 17t + 45 = 3t - 5 is 5 Find the zeros of y = x2 - x - 6 are -2 and 3 Factor the expressions: y = x2 - x - 2 y = 2x2 + x - 3 y = x2 + 2x + 1 Factor the trinomial: x2 - 7x - 10 b2 + 6b - 27 r2 - 14r - 72 p2 - 5p - 6 11t2+ 14t - 16 4x2 -13x - 27 18x2 + 9x - 14 7u2 - 4u - 3
 Q 1: Solve, 6x2 + 9x - 6 = 0.-3/2 and 2/33/2 and -2/3-3/2 and -2/33/2 and 2/3 Q 2: Solve, 12x2 - x - 1 = 0.-1/4 and 1/3-1/4 and -1/31/4 and -1/31/4 and 1/3 Q 3: Solve, 8x2 - 14x - 15 = 0.3/4 and -5/2-3/4 and -5/23/4 and 5/2-3/4 and 5/2 Q 4: Solve, 2x2 + 7x + 6 = 0.3/2 and 23/2 and -2-3/2 and 2-3/2 and -2 Q 5: Solve, 6x2 - 13x + 6 = 0.2/3 and -3/2-2/3 and 3/22/3 and 3/2-2/3 and -3/2 Q 6: Solve, 6x2 + 13x + 5 = 0.-5/3 and -1/25/3 and 1/2-5/3 and 1/25/3 and -1/2 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

#### Subscription to kwizNET Learning System offers the following benefits:

• Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
• Instant scoring of online quizzes
• Progress tracking and award certificates to keep your student motivated
• Unlimited practice with auto-generated 'WIZ MATH' quizzes
• Child-friendly website with no advertisements
• Choice of Math, English, Science, & Social Studies Curriculums
• Excellent value for K-12 and ACT, SAT, & TOEFL Test Preparation
• Get discount offers by sending an email to discounts@kwiznet.com

 Quiz Timer