Part 1: Determine whether 2 is a zero of the polynomial P(x) = 4x3 – 5x2 + 3x – 10 by using the Remainder Theorem. Show your work.

Part 2: Explain how the Remainder Theorem is useful in finding the zeros of a polynomial function.

Question

Part 1: Determine whether 2 is a zero of the polynomial P(x) = 4x3 – 5x2 + 3x – 10 by using the Remainder Theorem. Show your work. 

Part 2: Explain how the Remainder Theorem is useful in finding the zeros of a polynomial function.

anonymous · Answer

would you use synthetic division?

anonymous · Answer

i guess you are supposed to use synthetic division to divide $ P(x) = 4x^3 – 5x^2 + 3x – 10$ by $x-2$ and see if you get a remainder or not. if the remainder is 0 then $P(2)=0$ and if the remainder is $r$ then $P(2)=r$

anonymous · Answer

okay