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

Asked by maham237 @ 25/12/2020 in Mathematics viewed by 354 People

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)

Answered by maham237 @ 25/12/2020

We can group the expression x³ + 4x² + 5x + 20 as (x³ + 4x²) + (5x + 20). We have factor out the common factors and have
(x³ + 4x²) + (5x + 20)
x²(x + 4) + 5(x + 4)
From this, we have x³ + 4x² + 5x + 20 = x²(x + 4) + 5(x + 4). And thus, the answer is B.

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