by using the remainder theorem is 2 a zero of 4x^3-5x^2+3x-10?

Question

amistre64 · Answer

the remainder thrm is quite .... umm .... self evident i think

if the remainder is zero; then the proposed value is a zero of the function

amistre64 · Answer

do we synth it or just plug it in?

amistre64 · Answer

4*2 = 8-5=3*2=6+3=9*2=18-10=8 not 0

anonymous · Answer

i wanted to use synthetic division but i couldnt figure out what number i would use to multiply everything by

amistre64 · Answer

2  they tell you "2"  :)

anonymous · Answer

lol oh wow, so its a -2 sincei have to take the opposite sign?

amistre64 · Answer

nah, you want to know if 2 is a zero; or rather, is (x+2) a factor

amistre64 · Answer

(x-2)  typoed it lol

anonymous · Answer

so then how should i set up my problem?

amistre64 · Answer

pull of the coeffs; and since we are all accounted for there is no fill in 0s to be had

amistre64 · Answer

4x^3 -5x^2 +3x  -10
     3         2       1     0



    4  -5  3  -10
    0                        <--- add up
  ------------
2) 4                        <--- multiply

amistre64 · Answer

4*2=8-5=3*2=6+3=9*2=18-10=8 not 0

anonymous · Answer

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