X power to 11 +101 divisible by x+1 then what is the remainder
1 answer:
Answer:
110
Step-by-step explanation:
Let's define . So when we divide it by 'x+1', we can use Bezout's Theorem which states: that any polynomial(P(X)) divided by another binomial in the form 'x - a', then the remainder will be P(a).
We can use this fact to determine the remainder, because we divided our P(X) by x + 1 which is the same as x - (-1). So we plug in P(-1).
P(-1) = (-1)^11 + 101 = -1 + 101 = 110
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Answer:
y = -2x + 2
Step-by-step explanation:
Given the following data;
Points on the x-axis (x1, x2) = (2, -1)
Points on the y-axis (y1, y2) = (-2, 4)
To find the equation of line in slope intercept form;
First of all, we would determine the slope of the line.
Mathematically, slope is given by the formula;
Substituting into the equation, we have;
Slope, m = -2
Next, we would use the following formula to find the equation of the line;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - (-2) = -2(x - 2)
y + 2 = -2x + 4
y = -2x + 4 - 2
y = -2x + 2 = mx + c