The polynomial remainder theorem states that the remainder upon dividing a polynomial

by

is the same as the value of

, so to find

you need to find the remainder upon dividing

You have
..... | 2 ... 14 ... -58
-10 | ... -20 ... 60
--------------------------
..... | 2 ... -6 .... 2
So the quotient and remainder upon dividing is

with a remainder of 2, which means

.
Answer:
336 version
Step-by-step explanation:
To determine the total possible number of combination we will use the product rule
Total numbers of exterior colour 7
Total number of interior colour 3
Total number of interior style 4
Total number of transmission option 2
Total number of engine option 2 therefore the total combination is
7*3 *4*2*2 = 336 possible combination
The Sean's number is x. Formulate the equation:
x * 5 : 2 = 30
5x = 30 * 2
5x = 60
x = 60 : 5
x = 12
Answer: the Sean's number is 12.
It says that the triangles are congruent (same size). Also, a triangle's angles add up to 180 degrees. In both of these triangles, one angle is 90° and another angle is 52°. The other angle is 180°-90°-52°=38°.
Solve these equations to find x and y: 2x+18=38, 3y+11=38


Answer:
Step-by-step explanation:
In the 3rd question, we are given the equation x ^ 3 + x ^ 2 + 2x + 24. One of the factors is x + 3. Now, we can use long division to find that the equation we have left is x^2 - 2x - 8. We can just factor this to get (x - 4) (x + 2). In the 3rd question, possible factors for the coefficient are 1, 2, -1, -2. Possible factors for the constant are 1, 7, -1, -7. Now, we can try out all of them. The possible factors are 1, 7, -1, -7, 2, 14, -2, -14.