Which shows one way to determine the factors of x³ + 4x + 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)

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asked May 27, 2024 169k views

1 Answer

Heikki Naski · Answer 1 · 2024-06-01T11:02:53+0000

The correct way to determine the factors of x³ + 4x + 5x + 20 by grouping is to use the expression x²(x + 4) + 5(x + 4).

The correct way to determine the factors of x³ + 4x + 5x + 20 by grouping is to use the expression x²(x + 4) + 5(x + 4).

We can factor out the common term (x + 4) from the first two terms and the last two terms:

x²(x + 4) + 5(x + 4)

= (x² + 5)(x + 4)

So the factors of x³ + 4x + 5x + 20 are (x² + 5) and (x + 4).