Question

Determine if the first polynomial is a factor of the second polynomial:
X+1; X^3+X^2-4x-4

Answer 1

If (x+a) if a factor of f(x) , f(-a) = 0

Answer 2

you cant argue with that ;)

Answer 3

more explanation please?

Answer 4

when two numbers are multiplied together to form a new number; you know that the factors of that new number will never have a remainder after division.

Answer 5

let f(x) = (x-a)Q(x) + R

Where Q(x) is the quotient, and R is the remainder (when divided by (x+a) )

let x = a

f(a) = (a - a)(Q(x)) + R = R. If f(a) = 0, then it is a factor.

QED, featheres.

Answer 6

When divided by (x-a)*

Answer 7

for example, is 8 an integer factor if 15?

15/8 = 1 plus a remainder of 7. so no.

is 3 an inteeger factor of 15?

15/3 = 5 with a remainder of 0. 3 IS a factor.

Answer 8

you can do it the long way by dividing (x+3) into the other; and see if the remainder is 0.

Answer 9

that some nice explanation ;) tnkx

Answer 10

;) Newton helped :)