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uysha [10]
3 years ago
12

-4 + x + 7 + 3x + 6x​

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
6 0

Go to m-a-t-h-w-a-y they give you the answer. But only do it when absolutely necessary. Hope this helps!

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I don’t understand :(
viktelen [127]

Answer:

The quotient when x^3-4x^2-8x+8 is divided by x+2 is x^2-6x+4 with no remainder, so x+2 is a factor of p(x).

Step-by-step explanation:

As the question suggests, there are two ways to solve this problem: long division (which can always be used to divide polynomials), and synthetic division (which can only be used when you are dividing by something of the form (x-a). In this case, we may use synthetic division, since x+2 is equal to x-(-2). I will use synthetic division here as it is slightly faster than long division.

The -2 on the left represents that we are dividing by x-(-2), and the rest of the numbers in the top row are the coefficients of p(x): 1, -4, -8, and 8.

The first step in synthetic division is to being down the leading coefficient of the polynomial: in this case, the 1 (as indicated in red). Now, we multiply the 1 by -2. We get -2, which we place directly below the -4.

Next, we add directly down the column, (-4 + (-2) is equal to -6), and this answer is placed in the box below. We can continue this process, getting the coefficients 1, -6, 4, and 0 in the bottom row.

This is the answer: the quotient is x^2-6x+4, and the remainder is zero (which indicates that x+2 is a factor of p(x)).

--

Edit: long division

We may also solve this problem using long division (see the second image). The first step is to look at the leading coefficients: since x \times x^2 is equal to x^3, the first term in the quotient will be x^2. Since x^2 \times (x+2) is equal to x^3+2x^2, we must now subtract that from x^3-4x^2-8x+8.

We repeat the same process, as shown in the image. Since we eventually get to zero, the remainder is zero, and the polynomial at the top (x^2-6x+4) is the quotient.

<em>I know this might be difficult to follow, so please comment if you have any questions.</em>

4 0
3 years ago
How to check division with multplication<br><img src="https://tex.z-dn.net/?f=3%20%5Ctimes%20292%20" id="TexFormula1" title="3 \
svetoff [14.1K]

Answer:  By cross multiplication.

Step-by-step explanation:  Given product is 3 × 292.

We know that after simple multiplication, we get  3 × 292 = 876.

Now, to check division with multiplication, either we need to divide 876 by 3 to get the answer 292,

or

we need to divide 876 by 292 to get the answer 3.

We will do that as follows -

\dfrac{876}{3}=292~~~\textup{and}~~~\dfrac{876}{292}=3.

Thus, doing cross-multiplication, we arrive at our conclusion.

6 0
3 years ago
Write 8 as a product of primes.<br> Use index notation
dimaraw [331]

Answer:

2³

Step-by-step explanation:

8 = 2 × 2 × 2 = 2³

4 0
2 years ago
Breakfast Bar’s scrambled egg recipe uses 8 eggs to feed 5 people. How many eggs are they going to need to serve 100 people on S
Afina-wow [57]

Answer:

160

Step-by-step explanation:

If 5 people = 8 eggs

1 person = 8÷5 = 1.6 eggs

100×1.6= 160 eggs

3 0
1 year ago
Read 2 more answers
A $50 item is discounted 30%. How much is the discount?​
DaniilM [7]

Answer:

$15

Step-by-step explanation:

Discount = $50 x 30% = $15

5 0
3 years ago
Read 2 more answers
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