Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions

Find the condition which must be satisfied by th coordinates of the polynomial f(x)= x^3-px^2+ax-r when the sum of its two zeros is zero.



Say \alpha, -\alpha, \beta are the roots of given polynomial.
\alpha - \alpha + \beta = p \implies \beta = p
That means  p is a zero of the polynomial. Plug this in the polynomial and the required condition would be
0 = p^3 - p(p)^2 + a(p)-r\\0=ap-r\\ap=r
1 5 1
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts