jamesgoodland1 jamesgoodland1
  • 25-02-2021
  • Mathematics
contestada

(x+5)(x-4)(x+2) is identical to x^3+ax^2

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abidemiokin
abidemiokin abidemiokin
  • 02-03-2021

Answer:

a = 3

Step-by-step explanation:

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

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

=  (x²-4x+5x-20)(x+2)

= (x²+x-20)(x+2)

= (x³+2x²+x²+2x-20x-40)

= x³+3x²-18x -40

Compare with x^3+ax^2

3x² = ax²

3 = a

Rearrange

a = 3

Hence the value of a that makes the expressions identical is 3

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