The remainder of the given expression will be 66.
<h3>What is division?</h3>
Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic.
The given polynomlal x⁴+3x³-6x²-12x-8 will be divided by x-3 so we need to find the remainder:-
x-3) x⁴+3x³-6x²-12x-8 ( x³-6x²+12x+24
x²-3x³
_______________
6x³-6x²-12x-8
6x³-18x²
________________________
12x²-12x-8
-12x²-36x
_____________________
24x-8
24x-72
_______________________
66
Hence the remainder of the given expression will be 66.
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[ subtract 15 on both sides ]


Here, actual value of y is not the same as it is in statement, so the statement is wrong.
Answer: Option D.
Step-by-step explanation:
The expressions of boths sides of the equation must have the same value Or, in other words, if we call the expresion on the left side of the equation A, and the expression on the right side of the equation B, then:

Keeping the above on mind, you can see that 5 and 11 are not equal, then:
5≠11
The correct value of s is:

Substituting:

Answer:
Step-by-step explanation:
Hi there,
To solve this, we want to isolate x either using logs or exponent rules. For this, I chose exponent rules.
First, divide both sides of the equation by (1/3)² :

The right-hand side is reduced to 1. The left-hand side contains values that have the same base, so we can use this exponent rule:
Apply this:
Now, we are left with:
Conceptually, you just have to think: <em>what exponent can make a base equal to 1? </em>
This is based on the following exponent rule:

So, all we have to do is set (x-4) = 0!

Thus, the value of x is 4.
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