Question

factories :X3-8x2+X+42​

Answer 1

Answer:

Step-by-step explanation:

Secondary SchoolMath 5+3 pts

Factorize x^3 - 8x^2 + x + 42

Report by Amiyasingh 23.05.2018

Answers

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kaushikvidit007

Kaushikvidit007 Expert

ok ..the first thing u do in ques in which u have x to the power 3 is

step 1 : try to put in some no. like ( -1 ,1 ,0 ,2,-2,-3 ... etc ) so that the equation becomes = 0 , in this que , if u try to put +3 u will see u get zero it becomes

27 - 8(9) +3 +42 = 72 -72 =0

so ur first factor is 3 hence u write it as (x-3)

step 2 : now take the coefficients of the equation ie 1 -8 1 42 factorise it with 3 like this

3( 1 -8 1 42 )

____3_ -15_-42_

1 -5 -14 0

step 3 : take des coefficients 1 ,-5 ,-14 , write the equation as x^2 -5x -14 then factorise it ... u will get the factors (x-7)(x+2)

hence the final answer will be

x^3 - 8x^2 + x +42 = (x-3)(x-7)(x+2)

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Answer 2

Answer:

X3-16+X+42

=>3x+x+42-16

=>4x+26

=>2 (x+13)