Notifications
Clear all
Polynomials
1
Posts
2
Users
0
Likes
173
Views
0
05/07/2021 12:28 pm
Topic starter
Factorize:
x3 – 2x2 – x + 2
1 Answer
0
05/07/2021 1:06 pm
Let p(x) = x3–2x2–x+2
Factors of 2 are ±1 and ± 2
p(x) = x3–2x2–x+2
p(−1) = (−1)3–2(−1)2–(−1)+2
= −1−2+1+2
= 0
Therefore, (x+1) is the factor of p(x)
Now, Dividend = Divisor × Quotient + Remainder
(x+1)(x2–3x+2) = (x+1)(x2–x–2x+2)
= (x+1)(x(x−1)−2(x−1))
= (x+1)(x−1)(x-2)