SOLUTION: Can you help me with this? Thanks What is the difference of the product and the sum of real solutions from {{{ x^4 + 5x^3 + 5x^2 - 3x -8 }}} a. -11 b. -1 c. 0 d. 1 e. 11

Algebra.Com
Question 1006384: Can you help me with this? Thanks
What is the difference of the product and the sum of real solutions from
a. -11
b. -1
c. 0
d. 1
e. 11

Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.
Hello,

where are numerous mistakes in formulation of the problem.

1. You wrote a polynomial, not an equation.
   Therefore, about what solutions are you talking?
   In this case, you should talk about the roots of the polynomial, not about the solutions.

2. You are asking about real solutions, which is wrong again.
   Question should go about all the roots, real and complex.
   Then the question makes sense. Otherwise, it doesn't make sense.

3. The sum of all roots is the coefficient at  with the opposite sign, i.e. -5.
   The product of the roots is equal to the constant term, i.e. -8.
   Hence, "the difference of the product and the sum of" the roots of the given polynomial is (-8) - (-5) = -8 + 5 = -3.

4. Amazingly, all positions in your request, including the options for the answer, are wrong.


RELATED QUESTIONS

Hi can you help me with these 4 questions I'd apperceate it! 1- what is te value of x in (answered by MathLover1)
Find exact values for all real/complex number solutions to the polynomial equation...... (answered by RAY100)
Can you tell me how to find the real number solutions of the equation... (answered by solver91311)
Please help me with the following: Find the indicated difference quotient and simplify (answered by bam878s)
Can you please help me with this question? Write an equation for the line that passes... (answered by josgarithmetic,MathTherapy)
For which of the following equations is it true that the sum of the roots equals the... (answered by richwmiller,MathTherapy)
Choose the number solutions to the following system of equations: x-3y=3 -5x+15y=-15 (answered by richard1234)
what about this my friend can you help me perform and indicate operation of polynomials... (answered by Boreal,MathTherapy)
I need to find the real solutions of this:... (answered by galactus)