Marty drew a model of the school library. The total area of the floor is 132 square
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
(x⁴+ax²+b) ÷ (x+1) = x³-x²+(a+1)x-(a+1) remainder b+(a+1)
Since x+1 is a factor, b+(a+1) = 0.
(x³-x²+(a+1)x-(a+1)) ÷ (x+2) = x²-3x+(a+7) remainder -3a-15
Since x+2 is a factor, -3a-15 = 0
a = -5
b = 4
x⁴+ax²+b = x⁴ - 5x² + 4 = (x²-4)(x²-1) = (x+2)(x-2)(x+1)(x-1)
Step-by-step explanation:
First, find the zeroes of the parabola
So the zeroes or where the curve crosses the x axis is at 4 and -3.
Now, we take the derivative of the function.
Plug in -3, and 4 into the derivative function
So at x=-3, our slope of the tangent line is -7 and must pass through (-3,0). So we use point slope formula.
At x=4, our slope of tangent line is 7, and pass through (4,0) so
So the equations of tangent is