Answer:
See below.
Step-by-step explanation:
Part 1.
x + 12 <---------- Quotient.
------------------
x - 4 ( x^2 + 8x + 16
x^2- 4x
------------
12x + 16
12x - 48
----------
64 <--------- Remainder.
Part 2
f(4) = (4)^2 +8(4) + 16 = 16 + 32 + 16
= 64 Which is the remainder we found in the long division.
Part 3.
As you see in Parts 1 and 2, the Remainder Theorem tells you what the remainder is without doing the long division. If the remainder is 0 this means that the binomial you is a factor of the polynomial.
Answer:
63
Step-by-step explanation:
Assume, instead of > there was a =
In that case, x ÷ 7 = 3, then x would be 21. But we want a value that will be exceed this 21. So the only option you have is 63.
Answer:
Step-by-step explanation:
Given that the number of males in the classroom is three more than twice the number of females.
the total number of students is 57
Let x be the no of males then no of females = 
Also we have 3 more than twice no of females as
This equals x
No of males = 39, no of females = 18
Answer:
11/381
Step-by-step explanation:
Not sure what the ? after each number means but I'm going to assume they aren't there
so we need find the number of tokens in all which is
44+1414+66=1524
P(red)=44/1524 now reduce giving P(red)=11/381
