SOLUTION: Write {{{x^4 - 6x^2 - 27}}} as a product of linear factors and quadratic factors that are irreducible over the reals.

Algebra.Com
Question 90666: Write as a product of linear factors and quadratic factors that are irreducible over the reals.
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

Write  as a product of linear factors 
and quadratic factors that are irreducible over the 
reals.

 can be factored as



The first parentheses contains the difference of two
perfect squares and that can be factored over the reals,
as so we end up with



That's as far as it cvan be factored over the
reals.

Edwin






RELATED QUESTIONS

Write x4 - 6x2 - 27 as a product of linear factors and quadratic factors that are... (answered by checkley75)
Write the polynomial p(x) = x 4 + 6x2 - 27 as a product of irreducible factors. (answered by mananth,josmiceli)
A polynomial P is given. P(x) = x^4 + 18x^2 + 81 (a) Factor P into linear and... (answered by MathLover1)
Factor the polynomial as the product of factors that are irreducible over the real... (answered by Earlsdon)
P(x)= x^3+x^2-4x+6 Express P(x) as a product of irreducible factors over the set of... (answered by richard1234)
Factor the following expression into its linear or irreducible quadratic factors (having... (answered by robertb)
A polynomial f(x) with real coefficients and leading coefficient 1 has the given zeros... (answered by Boreal)
For p(x)= 4x^5 + 4x^4 + 25x^3 - 56x^2 - 74x - 20 a. Factor into linear and irreducible (answered by drk)
Write the polynomial as a product of linear factors.... (answered by jsmallt9)