SOLUTION: if 4x³ + 8x² - x - 2 = 0 then the value of (2x + 3) is given by

Algebra.Com
Question 899325: if 4x³ + 8x² - x - 2 = 0 then the value
of (2x + 3) is given by

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
The conclusion may be given by the evaluation according to any values assigned to x. The polynomial of the equation has no restrictions on x. The polynomial can accept any real number for x. 2x+3 can accept any real number for x.

You can try polynomial division to test if 2x+3 is a factor of the cubic polynomial. The result of the division will be ; meaning the remainder is "4". This would be equivalent for checking the root for



What that means basically is that when , then .
(This is related to either Factor Theorem or Remainder Theorem).

RELATED QUESTIONS

If sin^8x + cos^8x - 1 = 0, then what is the value of cos^2x.sin^2x (If x ≠ 0 or... (answered by Alan3354)
If x=1+<2+<3 <=underroot Then what is the value of... (answered by KMST)
if (2x^3+4x^2+2ax+b) is exactly divisible by (x^2-1),then the value of 'a' and 'b'... (answered by jsmallt9)
Solve the equations by a method of your choice. 4x^2+15x+9=0 x^2-8x+16=0... (answered by rwm,stanbon,ewatrrr)
Find the value of k if the given equation is true for x=5... (answered by MathLover1)
If 12x+7y=19 and 4x-y=3 then what is the value of... (answered by jim_thompson5910)
If x= 1+ sqrt2 + sqrt3, then the value of 2x^4-8x^3-5x^2+26x-28 (answered by Edwin McCravy)
if x=1+sqrt2+sqrt3,then find the value of... (answered by ewatrrr)
I've tried to work this out, I have one answer to the solution set, and I thought I had... (answered by stanbon)