<span>A polynomial with the given zeros can be represented as
f(x) = (x-1)(x-2)(x+2)(x+3).
Note that if you set f(x) = 0, then 1,2,-2, and -3 certainly are the solutions. From here, we simply multiply/expand out the polynomial. We can do this in a variety of ways, one of which is taking the left two and right two products separately. We have
(x-1)(x-2) = x^2 - 3x + 2
and
(x+2)(x+3) = x^2 + 5x + 6.
This gives that
f(x) = (x^2 - 3x + 2) (x^2 + 5x + 6).
Expanding this expression out then gives us our answer as
f(x) = x^4 + 2x^3 - 7x^2 - 8x + 12
or answer choice B.</span>
STEP-BY-STEP EXPLANATION:
Given information
The given ordered point = (5, 0)
Step 1: We need to translate the point 4 units down
To translate down means we will be subtracting a value from the y--axis
Hence, we have
When translated 4 units down, we got (5, -4)
Step 2: Reflect over the y-axis
The general rule for reflecting over the y-axis is (-x, y)
This means the value of x will be negated and the value of y will remain the same
Step 3: the graph the point
Answer:
B. y= -3x2 + 3
Step-by-step explanation:
y= -3^2+3
On a long hike Lucy drank 6 pints of water, which is equal to 3 quarts.
<h3>What is quarts?</h3>
An English measurement of volume equal to one-quarter gallon is the quart. There are now three different types of quarts in use: the liquid quart, dry quart, and imperial quart of the British imperial system. One liter is roughly equivalent to each. It is divided into four cups or two pints (in the US). The precise dimensions of the quart have historically changed in line with shifting values of gallons over time and in relation to various commodities.
A measure of liquid capacity that is equal to two pints or a quarter of a gallon, or roughly 0.94 liter in the US and 1.13 liter in the UK.
Since, 1 quart = 2 pints
Therefore by unitary method we can say,
2pint= 1 quart
6pint= 3quarts
To know more about quarts visit: https://brainly.in/question/13601478
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Look at the corresponding angle to 82, which is to the left of line b
It also measures 82 according to "corresponding angle theorem"
Then
angle x is equal to it as they are vertical pair of angle
so that, the measure of x equals 82 degree
I hope that helps
