When the polynomial 4x^4 − 13x^2 − 2x is divided by the polynomial x − 2 , x-2, what is the remainder?
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Answer:
The slope of the line that joins the points is negative.
i.e m = -6/5
Step-by-step explanation:
Taking two points from the graph to determine the slope
- (-3, 4)
- (2, -2)
Finding the slope between (-3, 4),(2, -2)
'
Therefore, the slope of the line that joins the points is negative.
i.e m = -6/5
Slope-intercept form is written as <em>y = mx + b</em>, where m is the slope and b is the y-intercept.
From this graph we should determine two points so we can work out the slope. Let's take points (3, -4) and (6, -2).
The equation to find the slope is:
m =
Let's substitute in our values:
m =
Remember that two negatives make a positive, let's solve for m:
m =
Okay, now we have the value of m. Now we need the value of b. We can determine this by looking at the graph and looking where the line passes through the y-axis. In this graph, we can see the line pass through the y-axis at point (0, -6).
Therefore we can determine that b = -6.
Let's substitute our value for m and our value for b into the slope-intercept formula:
y = mx + b
<u>y = </u><u>x + -6</u>
There's your final answer! I hope this helps, have a great night. :)