seancoach seancoach
  • 20-02-2020
  • Mathematics
contestada

Find a degree 3 polynomial that has zeros - 1, 3 and 8 and in which the coefficient of x^2 is -40

Respuesta :

miljanamilovanovic12
miljanamilovanovic12 miljanamilovanovic12
  • 20-02-2020

Answer:

Answer is 4x^3-40x^2+52x+96

Step-by-step explanation:

(x+1)(x-3)(x-8)=

(x^2-3x+x-3)(x-8)=

(x^2 -2x-3)(x-8)=

x^3-8x^2-2x^2+16x-3x+24=

x^3-10x^2+13x+24

because coeficient of x^2 is - 40, we multiply the whole equation by 4, then

4x^3-40x^2+52x+96.

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