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Vitek1552 [10]
3 years ago
12

Create a polynomial with the following attributes:

Mathematics
1 answer:
Goshia [24]3 years ago
3 0

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Zeros :

x =  - 2

x = 4

x = 7

Thus ;

x + 2 = 0

x - 4 = 0

x - 7 = 0

Multiply above equations :

(x + 2)(x - 4)(x - 7) = 0

Expand

( {x}^{2}  - 2x - 8)(x - 7) = 0

{x}^{3} - 7 {x}^{2}  - 2 {x}^{2} + 14x - 8x + 56 = 0 \\

{x}^{3}  - 9 {x}^{2}  + 6x + 56 = 0

y = f(x) =  {x}^{3}  - 9 {x}^{2}  + 6x + 56 \\

Done...

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