Question

Use the remainder theorem to:
i. find the remainder when f(x) is divided by x – c, and
ii. determine whether x – c is a factor of f(x).
Please show all of your work.
f(x) = 7x^3+17x^2-11x+3;x+3 Use the remainder theorem to:
i. find the remainder when f(x) is divided by x – c, and
ii. determine whether x – c is a factor of f(x).
Please show all of your work.
f(x) = 7x^3+17x^2-11x+3;x+3 @Mathematics

Answer 1

x-c is a factor when c = rational zero
possible rational zeroes constnat/ posss rat. zeroes leading coefficient
1 times 3 so -l,+1,-3,+3/ one times 7 so -1,1-7,7
therefore +-1, +-3, +-1/7,+-3/7
test possible rational zero x=-3 using synthetic div
constant is=0,therefore remainder is 0 and this also verifies x=-3 is a root

Answer 2

1. know that possible rational zeros are equal to factors of constant term/ factors of leading coefficent
2.test each possible zero by synthetic division, if the constant term =0
then you have found a real root. this means x- the real root is a factor[your case x--3] [the constant term=0 also verified there was no remainder]

if u still have question let me know

Answer 3

I dont understand how to work this