SPHott51
  • SPHott51
Write a polynomial function in standard form with zeros at 5, -4, and 1. Please show step by step
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
if \(x=5\) then \(x-5=0\) so one factor is \(x-5\) the other two factors are found in a similar fashion
SPHott51
  • SPHott51
the right answer is f(x) = x^3-2x^2 -19x +20 .. I just don't know how to show the work.
mathstudent55
  • mathstudent55
If a polynomial has a zero at k, then x - k is a factor of the polynomial. In your case, the polynomial has a zero at 5, so x - 5 is a factor. It has a zero at -4, so x - (-4) is also a factor. This factor is simply x + 4. Now do the same for the zero at 1 and find its factor. Then multiply the three factors together and collect like terms and that is the polynomial.

Looking for something else?

Not the answer you are looking for? Search for more explanations.