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Anna71 [15]
2 years ago
14

1. What would s have to be so that x^3+ 5x^2 + sx + 6 is divisible by (x+2)?

Mathematics
1 answer:
777dan777 [17]2 years ago
8 0

Answer:

A. 9

Step-by-step explanation:

We use the remainder theorem.

The given function is

f(x) =  {x}^{3}  + 5 {x}^{2}  + sx + 6

If this function is divisible by x+2, then by the remainder theorem,

f( - 2) = 0

This implies that;

{( - 2)}^{3}  + 5( - 2 )^{2}  + s( - 2) + 6 = 0

We evaluate to get:

- 8 + 20 - 2s + 6 = 0

18 - 2s = 0

2s = 18 \\ s = 9

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