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Vesnalui [34]
3 years ago
11

What’s the correct answer to this problem ?

Mathematics
1 answer:
kicyunya [14]3 years ago
5 0

Answer:

y = (x+3)^2 -1

Step-by-step explanation:

The equation for an upward opening parabola is

y = a(x-h)^2 +k

Where (h,k) is the vertex

The vertex is (-3,-1)

y = a(x--3)^2 +-1

y = a(x+3)^2 -1

Put a point in to find a

(0,8)

8 = a(0+3)^2 -1

8 = a (3)^2 -1

Add 1 to each side

8+1 = a9

9=9a

Divide by 9

1 =a

y = (x+3)^2 -1

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Use the remainder theorem to find the remainder of 2x^4 + x^2 - 10x -1 divided by x +2.
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Remainder Theorem says that if there is any Polynomial equation P(x), which is to be divided by (x - a) then remainder can be calculated by substituting value of a in equation P(x).  

2x^{4} +x^{2}-10x-1 = P(x)   divided by   (x+2)

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