# Math

posted by .

x(-x^3-4x^2+3x+18) (using synthetic division please.) Thank You.

• Math -

The possible rational factors are (+/-){factors of 18}/{factors of 1}: 18 is the coefficient of the x^0 term, and 1 is the coefficient of the greatest power of x - x^3 term.

= (+/-){1, 2, 3, 6, 9, 18}/{1} = (+/-){1, 2, 3, 6, 9, 18}.

Try factors using synthetic division until you find one that works. After, you will be left with a quadratic which is more easily factored.

• Math -

X(-X^3 - 4X^2 + 3X + 18).

It was determined by trial and error
that when X = 2, the quantity in paren-
thesis = 0. Therefore,

x = 2,
x-2 = 0,

Using synthetic division:
(-X^3 - 4X^2 + 3X + 18) / (X - 2) =
-X^2 - 6X - 9,
Our Eq is now:
X(X - 2)(-X^2 - 6X - 9),
The trinomial = 0 when X = -3,
X = -3,
X + 3 = 0,

Using synthetic division:
(-X^2 - 6X - 9) / (X + 3) = -X - 3,

Factored Eq: X(X - 2)(X + 3)(-X - 3).

## Similar Questions

1. ### algebra 2

can someone please explain synthetic division to me?
2. ### Long and synthetic division

please check my answers and help me with the last one please, I cant get it to come out right. Divide using long division or synthetic division. 2.(x^2 + 13x + 40)/ (x + 5) I got x + 8 5. 3m^3+7m^2-16m+16/ m+4 i got 3m^2-5m+4 7.(21x^3 …
3. ### Algebra

Divide using long division or synthetic division. (21x^3 - 7)/(3x - 1) Just wondering, how would you solve this problem using synthetic division?
4. ### Algebra

Divide using long division or synthetic division. (21x^3 - 7)/(3x - 1) Just wondering, how would you solve this problem using synthetic division?
5. ### algebra

The equation f(x) = 3x^3 + 10x^2 - 16x - 32 has a root at x = -4 a) Find the depressed equation using synthetic division and the root given. Factor out any constants that may appear. b) Factor the depressed equation (which is now a …
6. ### trig

The equation f(x) = 3x^3 + 10x^2 - 16x - 32 has a root at x = -4 a) Find the depressed equation using synthetic division and the root given. Factor out any constants that may appear. b) Factor the depressed equation (which is now a …
7. ### Algebra

Factor find the zeros x^5-9x^3 Find the quotient and remainder using long division (x^3-x^2-2x+6)/(x-2) Use sythetic division and remainder therem to evalulate P(c) Let P(x)= 6x^7-40x^6+16x^5-200x^4-60x^3-69x^2+13x-… *Calculate P(7) …
8. ### Algebra 2 help please :)

What is a cubic polynomial function in standard form with zeros 1, –2, and 2?
9. ### Math 17 Synthetic Division

Using synthetic division, divide (x^6)(y^6) by x-y. please show the process. THANK YOU! :)