Question

Given a polynomial f(x), if (x + 5) is a factor, what else must be true?

Answer 1

@ganeshie8 @Abhisar @dan815 @Abb0t

Answer 2

@peachpi

Answer 3

zeroes of the polynomial

Answer 4

A.f(0) = 5
B. f(0) = −5
c. f(5) = 0
d. f(−5) = 0

Answer 5

If x-5 factors out of the thing, then you have

f(x) = (x-5)(something left)

if

x-5=0

then....

Answer 6

Sorry it is

f(x) = (x+5)(something else)

Put in X= -5

f(-5) = 0*(Something) = 0

Answer 7

Is it A?

Answer 8

If (x+5) is a factor, then if you let X=-5 , that factor will be zero, and multiply the rest of the function by zero

f(-5) = ...

Answer 9

oh lol it's D!!

Answer 10

0

Answer 11

right, you see

Answer 12

so it is D?

Answer 13

Right, Say the function is f(x) = (x+5)(x^3+6x-4)

The x+5 is factored out of the thing... if that quantity is zero, (when x=-5 , f(x)=f(-5)

then

the function will also be zero at that location

Answer 14

If x = 1 is a zero of the polynomial function f(x) = 3x3 − 8x2 + 3x + 2, which of the following is another zero of f(x)?

Answer 15

If x=1 is a zero, then you can probably say (x-1) will be a factor of f(x)

Answer 16

So would it be -1?

Answer 17

no, that means you can say

f(x) = (x-1)*(another factor)

Answer 18

When "another factor" = 0 , that will be you other zero(s)

Answer 19

The zeroes are where y=f(x) = 0, crosses x axis

Answer 20

@DanJS so it is 2?