The equation which shows one way to determine the factors of x3 4x2 5x 20 by grouping is x²(x + 4) + 5(x + 4).
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;
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