Question

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)

Answer 1

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).

Step-by-step explanation:

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).