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

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) = 4x^3 – 5x^2 + 3x – 10 by using the Remainder Theorem. Show your work. (4 points) 

Part 2: Explain how the Remainder Theorem is useful in finding the zeros of a polynomial function.

amistre64 · Answer

plug in 2 into the equation and if its a zero, then its a zero

anonymous · Answer

I got 8, so its not a zero!

amistre64 · Answer

i get 8 as well

anonymous · Answer

SO its not a zero. So how is the remainder theorem helpful?

amistre64 · Answer

id have to review what the remainder thrm is tho; might have to divide the poly by (x-2)

amistre64 · Answer

using synthetic we get:

    4  -5  3  -10
    0   8   6    18
  ------------
2) 4   3   9    R=8

anonymous · Answer

Why did you decide on (x-2) ?

amistre64 · Answer

because they want to know about x=2; and when x=2, then x-2=0

anonymous · Answer

OH YOU ARE SO RIGHT! t

amistre64 · Answer

if x=2 is a zero, then (x-2) is a factor of the poly

amistre64 · Answer

dividing out (x-2) would then give us a remainder of 0, but it doesnt

anonymous · Answer

Yes, thank you!