Question

use the factor theorem to help decide which of the following expressions is a factor of
T^3+8t^2+20t+25
A) t-5
B) t-3
C) T+5
D) T-2

Answer 1

divide your polynomial by the options. if the remainder is 0, you have found a factor

Answer 2

you can also use the remainder theorem
f(5) will output the remainder that you would get by dividing your polynomial by (t-5)

Answer 3

so the answer is t-5?

Answer 4

when you use the reaminder theorem, and you plug it into the equation, I get 450 not zero.

Answer 5

or I mean how would you do it as a remainder theorem problem

Answer 6

so if f(5) is not equal to 0, then t-5 is not a factor

Answer 7

try the others

Answer 8

ooh and the right one is the one thats going to be zero?

Answer 9

yes

Answer 10

okay thanks a lot!

Answer 11

for (t+5) to be a factor, f(-5) would have to be 0

Answer 12

thank you!

Answer 13

yw