Question

what is the remainder of the function f(x)=x^3+x^2+x+2 divided by x- 4. show work. PLEASE HELP ME!!!!!!! ASAP

Answer 1

you could use long division or synthetic division

Answer 2

but a shortcut is to use the remainder theorem

Answer 3

CAN YOU SHOW ME PLEASE

Answer 4

which says

when you divide a polynomial f(x) by x-c, the remainder is f(c)

Answer 5

so what this means is that you just plug in x = 4 into f(x)

Answer 6

f(x)=x^3+x^2+x+2

f(4)=(4)^3+(4)^2+4+2

f(4) = ???

Answer 7

tell me what you get

Answer 8

86

Answer 9

that's your remainder

Answer 10

thank you this helped me out a lot

Answer 11

you're welcome