please answer with all important steps
Answers
Step-by-step explanation:
x3-23x2+142x-120
98%
by trial and error method let us see if [x-1] is a factor of this polynomial
therefore p[1=19-2312+142x1-120
= 1-23+142-120
= 0
so [x-1] is a factor,
now, to divide [x-1] with x3-23x2+142x-120
by doing this we will get x?-22x+120
to find the other factors of x3-23x2+142x-120 we can split the
middle term
x3-23x2+142x-120
=x2-12x+[-10x] +120
=x[x-12]-10[x-12]
=x-10[x-12]
therefore the factors of x3-23x2+142x-120 are:
[X-1][x-10[x-12)
cant term 12 and leading term
Factors of care . 7. 14,210 Facto I, Therefore, possible amines of pum
2 161711412112
+1, +2, +1 +4, +7, +14, +21, =2, +
Consider
Adding ()- 2:- Ba- 1 he + 2 by -2
-21
3--1+12
- 2 + 12
Therefore, 22 -5 + - + --- - =-21)
-(2-2) (23* - Te - 21) - (x - 2)2 (+#) - T
(-2) (+3) (2e -7) e- baSe + a = (- 2) (+3) (e - 7)
hope it helps you