Difference of Squares and Perfect Square Trinomials

University:
Felician University
Course:
MATH-002 | Basic Math Skills-Algebra
Academic year:

2022
Views:

336

Pages:

6
Author:

InterstellarInnovator

Difference of Squares and Perfect Square Trinomials Objective today: Factor with the identities: Difference of Squares and Perfect Square Trinomials Remember: DIFFERENCE OF SQUARES? Multiply the polynomials using distributive property. 2) (Зх - S)(Зх + 5) 1) (х + 2)(х - 2) г LO r "'>;:;::iF Perfect Square . Trinomial Go BACKWARDS / 1 to find the factors of а Perfect Square. 2 с х - 10х + 25 1. 11. 111. Write the parenthesis for your factors ЕХ: ( )2 Take ½ of 'Ь'. ЕХ: ½ (-10) = -5 IV. V. This is 'с' The perfect square is (х - 5) 2 VI. *This should all Ье done in your head © *when 'а' is 1 �-s)Lx - S) о Q_& - s') 2-, 10 Perfect Square Trinomial г Go BACKWARDS to find the factors dt а Perfect 5 uare. *when 'а' is not 1 4х 2 + 12х + 9 1. Write the parenthesis for your factors ЕХ: ( 11. )2 111. Take the square root of 'а'. ЕХ: -/4 = 2 (or-2) )2 IV. This goes with the 'х' - (2х V. Take the square root of 'с' - this is the second number: (2х + 3) 2 VI. Ве sure that 2(first number)(second number)='Ь'. You may need to change the signs. VII. *This should all Ье done in your head ( 2Х -+ з Х_ 2-х -+ 3 +- зJ 0\2, с�';'--. 2- r Perfect Square Trinomial Factor the polynomials. 17) х 2 -8х + 16 18) х 2 + 8х + 16 (!x-1r')27 19) 4х 2 + 8х + 4 "( /J.+!�� 7 -= Lf- �'2..-1- 2х -J. tJ 20) 9х 2 - 12х + 4 '2._ :: tt()(+ 1) / Wh n сап you use this short cut (ldentity)? / -(зх-� ---12