Question

factories x^3- 5x^2-x+5 ​

Answer 1

Step-by-step explanation:

f(1)= 1-5-1+5 =0

(x-1) is a factor

f(-1)= (-1)^3-5(-1)^2 --(-1) +5 =—-1- 5+1+5 =0

( x+1) is a factor

f(5)= (5 )^3--(5) 5^2 --( 5 ) +5= 125 -1 25—-5+5 =0

( x-- 5) is a factor

Answer 2

How to solve your question:-

$\bf \: {}^{3} −5 {}^{2} −+5$

Grouping:-

1

Find one factor

Factor by grouping

Factor by grouping

Factor by grouping

$\bf \: (−5)( {}^{2} −1)</p><p></p><p>$

Find one factor:-

Factor by grouping

Factor by grouping

Factor by grouping

Factor by grouping

$\bf \: (−5)(−1)(+1)$

Solution:-

$\bf(x - 5)(x - 1)(x + 1)$