The remainder theorem lets you find the remainder when a polynomial is divided by a linear function like the above, without actually doing the division.
It states that when the polynomial f(x) is divided by x - a then the remainder is f(a)
Applying it to the items in your question x - a = x + 2 so -a = 2 and so a = -2 :-
f(-2) = 2(-2)^3 - 3(-2)^2 - 5(-2) + 23 = 5 so the remainder will be 5.
Note if the remainder had been 0 then x + 2 would have been a factor of f(x). This process can be used to find if x - a is a factor.
The number of hours that it'll take both printers to do the job is 2.4 hours.
<em>Number of hours used by printer A = 6 hours</em>
<em>Number of hours used by printer B = 4 hours </em>
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Therefore, the number of hours that'll be used by both printers will be calculated thus:
1/6x + 1/4x = 1
Using 12 as the LCM
2x + 3x = 12
5x = 12
Divide both side by 5
5x/5 = 12/5
x = 2.4 hours
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Answer: 3/40
Step-by-step explanation:
0.5 = 1/2
0.15 = 3/20
1/2 * 3/20
1 * 3 = 3
2 * 20 = 40
3/40 is the simplest form, since 3 and 40 cannot both be divided by the same number.
Answer:
nustiu scz
Step-by-step explanation: