SOLUTION: Please help Use the Factor Theorem to determine whether x - c is a factor of f. If it is, write f in factored form, that is, write f in the form f(x) = (x - c)(quotient). f(x)

Algebra.Com
Question 616638: Please help
Use the Factor Theorem to determine whether x - c is a factor of f. If it is, write f in factored form, that is, write f in the form f(x) = (x - c)(quotient).
f(x) = 8x3 + 31x2 + 23x + 6; c = -3

A) Yes; f(x) = (x + 3)(8x2 + x + 2)
B) Yes; f(x) = (x - 3)(8x2 + 7x - 2)
C) No
D) Yes; f(x) = (x + 3)(8x2 + 7x + 2)


Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi, 

f(x) = 8x3 + 31x2 + 23x + 6; c = -3

f(-3) = 0, yes, (x+3) is a factor

Using synthetic Division

-3	8	31	23	6

		-24	-21	-6

	8	7	2	0

f(x) = 8x3 + 31x2 + 23x + 6 = (x+3)(8x^2 + 7x + 2) 

RELATED QUESTIONS


please help solve.

Use the Factor Theorem to determine whether x - c is a factor of f.  (answered by solver91311)

Use the Factor Theorem to determine whether x - c is a factor of the following function.... (answered by Edwin McCravy)

Use the Factor Theorem to determine whether x - c is a factor of the following function.... (answered by stanbon)

Use the Factor Theorem to determine whether (x-3) is a factor of f(x)=x^4+12x^3+6x+2 ?... (answered by ewatrrr)

 Use the Factor Theorem to determine whether x - c is a factor of f(x).

f(x)=x^4 -... (answered by jim_thompson5910,richwmiller)

use the factor theorem to determine whether (x-3) is a factor of 
f(x) = x⁴+ 12x³... (answered by Edwin McCravy)

Use the Factor Theorem to determine whether x - c is a factor of f(x).

8x3 + 36x2 -... (answered by jim_thompson5910,ikleyn)

Please help!! I don't know what I am doing!!

Use the remainder theorem to find the... (answered by josgarithmetic,MathTherapy)

3. Use the remainder theorem to find the remainder when f(x) is divided by x-2 . Then use  (answered by lwsshak3)