Answer:
Step-by-step explanation:
p(x) has degree 3
(x - 4) has degree 1
So p(x) can be rewritten as a polynomial of degree 2 multiplying (x-4)
So
To find a, b and c, we have to divide p(x) by x - 4.
So
Finding a:
Dividing the first term of p(x) by x - 4.
So a = 3.
Now multiplying 3x² by, x - 4, we have:
Subtracting p(x) from this:
Finding b:
Dividing the first term, after the subtraction, by x - 4.
So b = -8.
Multiplying -8x by x - 4, we have:
Then
Finding c:
So c = 5.
Just to verify if the remainder is 0.
Ok
Then:
Answer:
D
Explanation:
When u try to find the lengths of a right triangle you use the formula c = √(a² + b²). When you use the formula you take your TWO smallest numbers which is 12.5 and 30 you would plug it in the formula and solve and when you solve you should get 32.5. I checked my answer on a calculator to make sure it was right so js look at the picture below : )
Answer:
m = 1 / 2
Step-by-step explanation:
The slope formula is as follows:
m = y2 - y1 / x2 - x1
Now we insert the numbers into the formula:
m = 9 - 6 / -3 - (-9)
m = 3 / 6
m = 1 / 2
Step-by-step explanation:
Given 
To get g(x), we will have to integrate g'(x)
If g(1) = 0, this means at x = 1, g(x) = 0
0 = -1⁻¹ + C
C= 1
Substitute C = 1 into the function
g(x) = -x⁻¹ + 1
If g(2) = 0, this means at x = 2, g(x) = 0
0 = -2⁻¹ + C
C= 2⁻¹
C = 1/2
Substitute C = 2 into the function
g(x) = -x⁻¹ + 1/2
The greatest common factor of 20 and 14 is 2.
The greatest common factor of x^3 and x is x.
The answer is C. 2x
