\(x^{2} (x + 4) + 5(x + 4)\) is the correct answer
What is Quadratic equation?
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
According to the question, the given quadratic equation is:
\(x^{3} + 4x^{2} + 5x + 20\)
By grouping the quadratic equation,
\((x^{3} + 4x^{2} ) + (5x + 20)\)
Here the common factors are:
\((x^{3} + 4x^{2} ) + (5x + 20) \\x^{2} (x + 4) + 5(x + 4)\)
Therefore , the one way to determine the factors of x³ + 4x² + 5x + 20 by grouping is \(x^{2} (x + 4) + 5(x + 4)\)
Learn more about Quadratic equations here:
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