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  • 13-04-2021
  • Mathematics
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PLEASE 100 POINTS Write the polynomial in factored form and explain how you did it.

PLEASE 100 POINTS Write the polynomial in factored form and explain how you did it class=

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karen5552
karen5552 karen5552
  • 14-04-2021
Answer: f(x)=(x-5)(x+5)(x+2)

Points given: (5,0),(-5,0),(-2,0)
To get the factors do x- the roots above:
Solve for x:
X+5=0 X=-5
X-5=0 X=5
X-2=0 X=2
Now we have (x-5),(x+5),(x+2)
Another point that seems to be given is (3,-80)
F(3)=-80= a(3-5)(3+5)(3+2)
-80=a(-2)(8)(5)
-80=a(-80) (Solve for a)
-80/-80=a(-80)/-80
1=a
F(x)=1(x-5)(x+5)(x+2)
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