prove the (x1) is a factor of x3 - 7 x2+13 x-7
Share
prove the (x1) is a factor of x3 - 7 x2+13 x-7
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
Let f(x)=x
3
–7x
2
+14x–8
Then, for x=1
f(1)=(1)
3
–7(1)
2
+14(1)–8=1–7+14–8=0
Thus, (x–1) is a factor of f(x).
Now, performing long division we have
Hence, f(x)=(x–1)(x
2
–6x+8)
=(x–1)(x
2
–4x–2x+8)
=(x–1)[x(x–4)−2(x–4)]
=(x–1)(x–4)(x–2)