Question

Which of the following is a factor of:

Answer 1

Answer:

D) (x-2)

Step-by-step explanation:

Let's try each factor out with synthetic division:

Option D: x^5-2x^4+3x^3-6x^2-4x+8 / x-2 = 2 | 1 -2 3 -6 -4 8 = x^4+3x^2-4 with no remainder so D works

Option C: x^5-2x^4+3x^3-6x^2-4x+8 / x-9 = 9 | 1 -2 3 -6 -4 8 = x^4+7x^3+66x^2+588x+5288 with a remainder of 47600 so C can't work

Option B: Doesn't work

Option A: Doesn't work

Therefore, D is the right answer because there's no remainder.

Hope this made sense, I tried.

Answer 2

Answer:

Hello the answer is D  -2

Step-by-step explanation:

^5-2x  ^4+3x   ^3-6x^2-4+8   / x-2 = 2   | 1 -2 3   -6 -4 8 =  ^4+3  ^2-