WebWhich answer best describes the complex zeros of the polynomial function? f (x)=x^3+x^2+10x+10. The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one location. How many complex roots does the equation 0=3x^5−x^4−5x^2+1 have? 5. What is the completely factored form of f (x)=x^3 ...
How do you factor completely x^4-81? Socratic
WebJul 17, 2015 · How do you factor completely: 81x4 − 16? Algebra Polynomials and Factoring Factoring Completely 1 Answer Don't Memorise Jul 17, 2015 = (9x2 +4)(3x +2)(3x −2) Explanation: -As per the identity: (a2 − b2) = (a + b)(a − b) Here : 9x2 = a 4 = b Applying the identity to the expression: 81x4 −16 = (9x2)2 − 42 = (9x2 +4)(9x2 − 4) WebDec 31, 2015 · 1 Answer George C. Dec 31, 2015 Factor by grouping to find: x3 −4x2 +4x − 16 = (x2 + 4)(x − 4) Explanation: x3 −4x2 +4x − 16 = (x3 − 4x2) + (4x −16) = x2(x −4) +4(x − 4) = (x2 + 4)(x −4) If we allow Complex coefficients... = (x −2i)(x +2i)(x − 4) Answer link stay fly explicit
Factoring polynomials using complex numbers Khan Academy
WebFactor the quadratic over the complex numbers About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test … WebNov 1, 2024 · Factor the polynomial function over the complex numbers 0 . 1388 . 2 +234 Factor the polynomial function over the complex numbers. f(x)=x^4−x^3−2x−4. WebApr 18, 2015 · For factoring polynomials, "factoring" (or "factoring completely") is always done using some set of numbers as possible coefficient. We say we are factoring "over" the set. x3 −x2 − 5x +5 can be factored over the integers as (x − 1)(x2 −5) x2 −5 cannot be factored using integer coefficients. (It is irreducible over the integers.) stay flush