Answer:
Remainder when p(x) is divided by (x+2) is -29
Step-by-step explanation:
p(x) =
When p(x) is divided by (x-2), remainder is 19.
p(x - 2 = 0) gives the remainder when p(x) is divided by (x-2)
x - 2 = 0
x = 2
p(x-2=0) = p(2) = = 19
8 - 8 + 16 + k = 19
k = 3
p(x) =
p(x + 2 = 0) gives the remainder when p(x) is divided by (x+2)
x + 2 = 0
x = -2
p(x+2=0) = p(-2) =
p(-2) = - 8 - 8 - 16 + 3 = -29
Remainder when p(x) is divided by (x+2) is -29
Answer:
Step-by-step explanation:
In this question , we have to write an arithmetic expression that calculates the average of 18 and 46.
TO find the average, we have to add the numbers and divide by 2.
So here we have to add 18 and 46 and divide by 2, that is
And that's the required algebraic expression .
We effectively rewrite the equation as
In order for the LHS to be defined, we need to restrict , or
. Now, the LHS will vanish when the numerator is 0, which happens for
This value is indeed smaller than 4, so the solution is .