One of the intercepts is plus and minus square root of 5.
This question would have been better posted in the mathematics section.
Use the factor theorem to convert the three given x-intercepts into factors:
(x + 2) (x - √5) (x + √5)
Multiply these factors together:
x^3 + 2x^2 - 5x - 10
Evaluate this function at x = -4:
(-4)^3 + 2(-4)^2 - 5(-4) - 10 = -22
So to achieve the desired value for y when x = -4, multiply the function by 5/(-22) :
(-5 / 22) (x^3 + 2x^2 - 5x - 10)
Maybe leave it like that, or maybe multiply each coefficient by (-5 / 22).
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Verified answer
This question would have been better posted in the mathematics section.
Use the factor theorem to convert the three given x-intercepts into factors:
(x + 2) (x - √5) (x + √5)
Multiply these factors together:
x^3 + 2x^2 - 5x - 10
Evaluate this function at x = -4:
(-4)^3 + 2(-4)^2 - 5(-4) - 10 = -22
So to achieve the desired value for y when x = -4, multiply the function by 5/(-22) :
(-5 / 22) (x^3 + 2x^2 - 5x - 10)
Maybe leave it like that, or maybe multiply each coefficient by (-5 / 22).