Which shows one way to determine the factors of x3 + 4x2 + 5x + 20 by grouping?x(x2 + 4) + 5(x2 + 4)x2(x + 4) + 5(x + 4)x2(x + 5) + 4(x + 5)x(x2 + 5) + 4x(x2 + 5)

The equation which shows one way to determine the factors of x3 4x2 5x 20 by grouping is x²(x + 4) + 5(x + 4).How to find factor of polynomial?The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.The polynomial equation given in the problem is,[tex]x^3 +4x^2 +5x+ 20[/tex]
Take out the greatest common factor from the first two term which is x^2 and from the last two terms which is 5 as,[tex]x^2(x +4)+5(x+ 4)\\[/tex]Simplify it further,[tex](x+4)(x^2+5)[/tex]Thus, the equation which shows one way to determine the factors of x3 4x2 5x 20 by grouping is x²(x + 4) + 5(x + 4).Learn more about factor of polynomial here;