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sdas [7]
3 years ago
10

Identify the remainder when 4x3 - 4x + 12 is divided by x + 2.

Mathematics
1 answer:
telo118 [61]3 years ago
7 0
4(x^4+2x^3-x^2-2x+3)/x+2
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Indicate the sum of the terms in each of the following examples, and simplify the result by combining like terms:
katrin [286]

Answer:

The sum of the terms is equal to 5r^2-14r+3s.

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Step-by-step explanation:

Given:

The terms that are given are:

10r^2, -6r, +5s, -8r, +2s, -5r^2, -4s

The sum of the terms is the addition of the given terms and is given as:

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=10r^2-6r+5s-8r+2s-5r^2-4s

Now, combining like terms. Like terms means that are of the same type are grouped together. There are 3 different terms here 'r²', 'r' and 's'.

The terms containing 'r²' are: 10r^2, -5r^2

The terms containing 'r' are: -8r, -6r

The terms containing 's' are: 5s, 2s, -4s

Now, combining the like terms, we get:

=(10r^2-5r^2)+(-8r-6r)+(5s + 2s -4s)

=(10-5)r^2+(-8-6)r+(5+2-4)s

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=5r^2-14r+3s

Therefore, the final expression is equal to:

=5r^2-14r+3s

Now, plug in r=1,s=3. This gives,

=5(1)^2-14(1)+3(3)

=5\times 1-14+9

=5-14+9

=0

Therefore, the value of the sum of all the terms at r=1,s=3 is 0.

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