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Ivanshal [37]
3 years ago
10

If x^3+ax^2-18x+b = (x+5)(x-4)(x+2) what is a and b

Mathematics
1 answer:
blondinia [14]3 years ago
6 0

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(x + 5)(x - 4)(x + 2) =

(x + 5) ({x}^{2}  - 2x - 8) =

{x}^{3}  - 2 {x}^{2}  - 8x + 5 {x}^{2}  - 10x - 40 =  \\

{x}^{3}  + 3 {x}^{2}  - 18x - 40

_________________________________

Compare :

{x}^{3}  + 3 {x}^{2}  - 18x - 40

{x}^{3}  + a {x}^{2}  - 18x + b

Thus :

a = 3

and

b =  - 40

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