Question

( x^3 + x^2 -6x -3 ) / ( x + K ) yields a remainder -3. find the value of k that satisfies the condition


p.s. i tried doing synthetic and my remainder is -k^3 + k^2 + 6k -3. so i'm not so sure that helped..

Answer 1

that does help

Answer 2

you need to solve that equation for -3 now

Answer 3

Yes, yes it does! Equation!

Answer 4

-k^3 + k^2 + 6k -3 = -3

-k^3 + k^2 + 6k = 0

-k (k^2 - k - 6) = 0

Answer 5

does that make sense?

Answer 6

then k=0 and , 3 & -2 ?

Answer 7

those are options to test out, yes. If they all fit the bill; then use them all

Answer 8

the remainder thrm says, that if you input a value into the function, you get the remainder

Answer 9

okay, thank you so much ! :)