Find the remainder when f(x) = x3 – 14x2 + 51x – 22 is divided by x – 7.

36

8

–8

–36

Question

Find the remainder when f(x) = x3 – 14x2 + 51x – 22 is divided by x – 7.

 36

 8

 –8

 –36

anonymous · Answer

-8 Verify that the above is correct by synthetic division. http://www.purplemath.com/modules/synthdiv.htm http://mathportal.org/calculators/polynomials-solvers/synthetic-division-calculator.php

sarahc · Answer

What are the possible rational zeros of f(x) = x4 + 6x3 – 3x2 + 17x – 15?

 ± 1, ± 3, ± 5, ± 15

 ± 1, ± , ± , ± 

 ± 1, ± 3, ± 6, ± 15, ± 17

 ± 1, ± , ± , ± , ± 
 Would A be the correct answer? :) thank you for the help!

sarahc · Answer

@robtobey

anonymous · Answer

Mathematica cannot factor$$x^4+6 x^3-3 x^2+17 x-15 $$There are two real roots
{x=-6.84742},{x=0.793705}
A plot is attached.

sarahc · Answer

Hmm, okay