Question

1. Which of the following is a factor of x^2 – 6x – 27?

a. x + 3

b. x + 9

c. x – 1

d. None of the above

Answer 1

Have you tried synthetic division?

Answer 2

use the identity:-\[x^2-(a+b)x+ab\]

Answer 3

@across, no.

Answer 4

I would use REMAINDER THEOREM

Answer 5

Do u know it? @bombshellbri

Answer 6

never learned that...

Answer 7

substitute the given factors ....

Answer 8

Actually Factor Theorem

Answer 9

If polynomial f(x) is divided by (x-a) then (x-a) is said to be a factor of polynomial f(x) if f(a)=0

Answer 10

got it?

Answer 11

not really.

Answer 12

Here: f(x)=x^2-6x-27

Answer 13

no i mean to say that
suppose to test x-a
substitute x=a in the given polynomial and if reduces to zero then x-a is its factor

Answer 14

@sauravshakya , so where f(x) is, i should substitute the given choices to replace x?

Answer 15

(x-a) ===> (x+3)
a=-3

Answer 16

example to for x^2-6x-27
testing x+3
let x+3=0 then x=-3
substitute that -3^2-6*(-3)-27
it gives 0 hence its a factor

Answer 17

Now, find f(a)

Answer 18

x + 3 is a factor

Answer 19

Yep

Answer 20

so this is the answer. correct?

Answer 21

Yes very correct

Answer 22

thanks for your help

Answer 23

Welcome