If f(k)=0 for some polynomial, then by the factor theorem (x-k) is a factor, not (x+k).
So the answer is false.
For example, for the polynomial `f(x)=x^2-2x+1 ` we have f(1)=0, but (x+1) is not a factor since `x^2-2x+1=(x-1)^2 ` ; the only factor is (x-1).
Further Reading
We’ll help your grades soar
Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.
- 30,000+ book summaries
- 20% study tools discount
- Ad-free content
- PDF downloads
- 300,000+ answers
- 5-star customer support
Already a member? Log in here.
Are you a teacher? Sign up now