Lin plays a game that involves a standard number cube and a deck of ten cards numbered 1 through 10. If both the cube and card h
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Answer:
Step-by-step explanation:
To solve this we should use the Euclidean division :
- Our polynomial function is 16-2x³-6x²+x+9=-2x³-6x²+x+9
- we should divided by : 4+3x-2=3x+2 and see the rest
Here is a picture with the operation
- the rest is 47/9 so the number I SHOULD SUBSTACT IS 47/9
Since is the square of x and 6x is twice the product between x and 3, the second square must be 3 squared, i.e. 9.
So, if we think of 15 as 9+6, we have
Which is the required vertex form. This form tells us imediately that the vertex is the point (3,6).
Since the leading coefficient is 1, the parabola is facing upwards (it's U shaped), so the vertex is a minimum.