WESTERN HIGH SCHOOL Ana Nyarko PRECALCULUS NAME : CLASSWORK (10/13/2022) INTRO TO FINDING ZEROES OF POLYNOMIAL FUNCTION Apply synthetic division, quadratic formula or factoring to find all the zeros of each polynomial function 1. f(x) = x3+x2 - 10x+8 2 . Given one of the factors is (x-1) [ X - 1 = 0 ] X X = 1 6x3- 18x2-7x+21 (x- 3) X - 3=0 X= 3 1 1 1 - 10 8 1 2- 8 316 - 18 - 7 21 1 21-18 0 18 0 - 21 0 - 7 0 X" + 2 x- 8 6x 2+ 0x- 7 a = 1 b = 2 c = - 8 a = 6 b = 0 c= - 7 2 (41 , - 2 ) ( 14 , - 2) | 14 , ) + ( - 2 ) ( X = - 0 + 50 2 - 416) (- 7 ) 1- 8 2 2(6) ( X + 4 ) ( x - 12 ) = 0+168 = + 4 . 42 X = - 4 x = 12 12 12 = + 2J42 2- 4 , 11 , 127 = +42 2 . 6 X1 = +42 X2 = -142 6 - 542 , JUR , 3 6 6WESTERN HIGH SCHOOL PRECALCULUS NAME: CLASSWORK (10/13/2022) 3. f(x) = 7x3 -21x2 - 18x + 54 4. f (x) = 2x3 + 4x2 - 33x -15 Given one of the factors is (x-3) Given one of the factors is (x+5) x - 3= 0 X= 3 X +5= 0 X=- 5 317 - 21 - 18 54 -51 2 4- 33-15 21 0 - 54 - 10 30 15 7 0 - 18 0 2 - 6 - 3 0 7 x 2 + 0x- 18 2x2- 6X - 3 a = 7 b = 0 c = + 18 a = 2 b= +6 c- 3 3 O - 6 - 18