Friday

January 30, 2015

January 30, 2015

Posted by **Bradley** on Monday, June 2, 2008 at 9:19pm.

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 quadratic) using any method EXCEPT synthetic division.

c) List all the roots for f(x)

- trig -
**Damon**, Monday, June 2, 2008 at 9:51pmThey told you that x = -4 was a root so (x+4) is a factor so divide 3x^3 + 10x^2 - 16x - 32 by (x+4)

I get

3 x^2 - 2 x - 8

Factor that

3 * 1 factors 3

8*1 or 2*4 factors 8

so try 2 and 4

(3x -2)(x+4), nope

(3x-4)(x+2) close

(3x+4)(x-2) aha

so all the roots are

-4

-4/3

+2

**Answer this Question**

**Related Questions**

algebra - The equation f(x) = 3x^3 + 10x^2 - 16x - 32 has a root at x = -4 a) ...

Algebra HELP - h(x)= 3x^(5) + 2x^(4) + 15x^(3) + 10x^(2) - 528x - 352 for this ...

Math - List all possible rational roots, use synthetic division to find an ...

Pre Calc (For Reiny) - Thanks so much your method worked perfectly! My solution ...

Pre Algebra - Please help me with some problems. Thank you! Solve the equation ...

Algebra - Factor find the zeros x^5-9x^3 Find the quotient and remainder using ...

Math - 1) Solve equation 3r+5 _____ + 2 = 2r to find the value of r? 2 A. 2 1/7 ...

Algebra - please help me with this question and check my answers. Solve the ...

ALGEBRA - 1, Factor each expression x^2 - 10x - 24 A. (x + 4)(x - 6) B. (x + 6)(...

math - solve the equation x^3-5x^2-4x+20=0 I need a hint on how to solve this ...