1 / 10

QUADRATIC TRINOMIAL

Lesson on Quadratic equation and how to solve quadratic equation by factorization, completing the square and quadratic formula

adekoyatosin01
Download Presentation

QUADRATIC TRINOMIAL

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. QUADRATIC TRINOMIAL SS TWO FURTHER MATHEMATICS: WEEK 2 O. O. ADEKOYA (Msc,PGDE, Bsc, Dip)

  2. SPECIFIC OBJECTIVES At the end of the lesson, thestudents should be able to i. define quadratic trinomial ii. solve quadratic trinomial using • Factorization method • Completing square method • Quadratic formulae

  3. CONTENTS • Quadratic Trinomial • Factorization of Quadratic equation • Completing the square method • Quadratic formulae

  4. QUADRATIC TRINOMIAL A quadratic trinomial is a three termed expression with the highest power of the unknown being two(2) Example: (a) (b) The general formula for quadratic trinomial is . where a 0, a, b, c are contants Methods for solving Quadratic Trinomial Factorization method Completing the square method Quadratic Formula Graphically

  5. Factorization Method : Procedure (a) multiply the first term of the quadratic trinomial by the last term = 0 First term middle term last term (b) find the two factors of the result in (a) that the sum will give the middle term (c) substitute for the middle term, factorize and solve Example (1) Solve =0 = 2x(x+ 1) -5(x+ 1) =0 (2x-5)=0 or (x+ 1)=0 2x=5 or x = -1 x = 5/2 or -1 -10

  6. (2) Solve =0 = Substitute =0 =0 2x (5x +1 ) + 3(5x +1) =0 (5x + 1) = 0 or (2x +3 ) =0 5x = -1 or 2x = -3 x = -1/5 or x = -3/2 2. Completing the Square method Expand = (x + 3) (x +3) = = Therefore = To make the left hand perfect square = b is the half of a p is the square of b

  7. Example: Make perfect square = = 2. = = If the coefficient of is not 1 ) Example : 1. Make a perfect square ) ) 2. Make a perfect square ) )

  8. 2. Solve :0 0 ) = 5 = To solve Quadratic Trinomial using Completing the square Method Example 1. Solve: = 0 (x+2)(x+2) =0 X+ 2= 0 or x +2 = 0 twice Take the square of both sides or or x = 5/2 or

  9. 3. Quadratic Formula a is the general formula of quadratic trinomial, if solve by completing the square then x = a is the coefficient of b is the coefficient of x c is the constant or last term

  10. Example : Solve 5+ 13x=0 a = 5, b = 13, c = x = x = x = x = x = x = or x = x = or x = 2/ 5 or

More Related