10. Use synthetic division to completely factor y = x3 - 4x2 - 9x + 36 by x + 3. O.
y = (x + 3)(x - 4)(x - 3)
y = (x + 3)(x - 4)(x + 3)
y = (x + 3)(x + 4)(x - 3)
y = (x + 3)(x + 4)(x + 3)

A

Step-by-step explanation:

Start with,

Look at first terms, and in divisor, with what do you have to multiply so that you end up with ? The answer is .

So you write,

(because you are subtracting .

Which becomes when u subtract columns,

Now repeat the procedure,

which becomes

And again,

becomes,

Since the RHS is 0 that means is a factor.

Now you can factor because and .

Combine the factors and get .

Hope this helps :)

a

step-by-step explanation:

jjddbdhid r

or