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bearhunter [10]
2 years ago
5

Determine and state the vertex of f(x) = x2– 2x – 8 using the method of completing the square.

Mathematics
1 answer:
timurjin [86]2 years ago
3 0

Answer:x²-2x-8

X²-2x=8

X²= -2x + (-1)² = 8 + (-1)²

X²= -2x + 1 = 8 + 1

X²= -2x + 1 = 9

(X-1)² = 9

√(x-1)² = √9

X-1 = ± 3

X= 1 + 3= 4

X= 1 - 3= -2

X= 4 or X= -2

Step-by-step explanation:

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The sum of two polynomials is 8d5 – 3c3d2 + 5c2d3 – 4cd4 + 9. If one addend is 2d5 – c3d2 + 8cd4 + 1, what is the other addend?
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We are given the resultant polynomial which is : 8d^5-3c^3d^2+5c^2d^3-4cd^4+9

One of the polynomial which are added up is : 2d^5-c^3d^2+8cd^4+1

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According to the question:

8d^5-3c^3d^2+5c^2d^3-4cd^4+9=x+(2d^5-c^3d^2+8cd^4+1)

x=8d^5-3c^3d^2+5c^2d^3-4cd^4+9-(2d^5-c^3d^2+8cd^4+1)

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