For this problem, we are going to use the Remainder Theorem. This says that for to be a factor of a polynomial
, then
. Essentially, it says that
is a factor if when you substitute
into the polynomial you get a result of 0.
Thus, in our case, when we substitute into the polynomial, we should get an answer of 0 if
is a factor of the polynomial. Given this information, we can solve for
:
The solution is c = 3.
Answer:
The length of the third side of the triangle is 30.
Step-by-step explanation:
Here is the formula for the Pythagorean Theorem:
The hypotenuse, based on the problem, is 50. Anyways, let's get back to calculating!
We need to multiply 40 times 40 and 50 times 50.
40 times 40, or 40 squared, equals to 1600.
50 times 50, or 50 squared, equals to 2500.
Now, let's subtract. 2500 - 1600 = 900. We need to find the square root of 900--which is 30, because 30 times 30, or 30 squared, equals to 900.