faelyn grouped the terms and factored the gcf out of the groups of the polynomial 6x^4 - 8x^2 + 3x^2 + 4…

faelyn grouped the terms and factored the gcf out of the groups of the polynomial 6x^4 - 8x^2 + 3x^2 + 4. her work is shown. step 1: (6x^4 - 8x^2)+(3x^2 + 4) step 2: 2x^2(3x^2 - 4)+1(3x^2 + 4) faelyn noticed that she does not have a common factor. which accurately describes what faelyn should do next? faelyn should realize that her work shows that the polynomial is prime. faelyn should go back and regroup the terms in step 1 as (6x^4 + 3x^2)-(8x^2 + 4). in step 2, faelyn should factor only 2x out of the first expression. faelyn should factor out a negative from one of the groups so the binomials will be the same.

faelyn grouped the terms and factored the gcf out of the groups of the polynomial 6x^4 - 8x^2 + 3x^2 + 4. her work is shown. step 1: (6x^4 - 8x^2)+(3x^2 + 4) step 2: 2x^2(3x^2 - 4)+1(3x^2 + 4) faelyn noticed that she does not have a common factor. which accurately describes what faelyn should do next? faelyn should realize that her work shows that the polynomial is prime. faelyn should go back and regroup the terms in step 1 as (6x^4 + 3x^2)-(8x^2 + 4). in step 2, faelyn should factor only 2x out of the first expression. faelyn should factor out a negative from one of the groups so the binomials will be the same.

Answer

Brief Explanations:

Un polynôme premier est un polynôme qui ne peut pas être factorisé en polynômes de degré plus bas avec des coefficients dans le même corps. Après avoir essayé de factoriser le polynôme en regroupant les termes et en factorisant le plus grand facteur commun (PGCF) de chaque groupe, si on ne peut pas trouver de facteur commun supplémentaire pour factoriser le polynôme complètement, alors le polynôme est premier. Dans ce cas, Faelyn a essayé de factoriser le polynôme $6x^{4}-8x^{2}+3x^{2}+4$ et n'a pas trouvé de facteur commun supplémentaire.

Answer:

Faelyn should realize that her work shows that the polynomial is prime.