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Olenka [21]
3 years ago
10

What is the remainder of (x 3 + 5x 2 − 32x − 7) ÷ (x − 4)?

Mathematics
1 answer:
Leto [7]3 years ago
8 0
(x^3+5x^2-32x-7)/(x-4)

x^2 remainder 9x^2-32x-7

9x  remainder 4x-7

4  remainder 9

(x-4)(x^2+9x+4)+9/(x-4)

The remainder is 9/(x-4)
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Read 2 more answers
Please help me figure this out.
xz_007 [3.2K]

Answer:

Quotient: x+7

Remainder: -2

Step-by-step explanation:

Divide the terms (x² ÷ x =x)↓

(x² + 11x + 26) ÷ (x + 4) =x

Subtract x² + 4x (You have to the sign if each term)

(x² + 11x + 26) ÷ (x + 4) =x

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-------------------

      7x + 26      

Divide the terms (7x ÷ x = 7)

x² + 11x + 26) ÷ (x + 4) =x + 7

Multiply the quotient by the dividend (x + 4) × 7 = 7x+28

(x² + 11x + 26) ÷ (x + 4) =x

-x² - 4x

-------------------

      7x + 26      

      7x + 28

------------------

           = -2 Remainder

4 0
3 years ago
How can i factor this? <br> x^(2n)-2x^(n)+1
Tasya [4]
You can make it easier by replacing x^n with another variable, factoring, then putting x^n back in the end.

Using exponent and algebra rules, rewrite x^2n - 2x^n + 1 as
(x^n)^2 - (2 x x^2) + 1

Then, let x^n = m.

m^2 - 2m + 1

Now factor that: (m - 1)^2

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7 0
3 years ago
F(x)=2x+3 and g(x)=4x-2. Find f(x) x g(x). Find f(x) - g(x).
const2013 [10]

Answer:

<u><em>f(x) * g(x) is </em></u><u><em>8x^2 + 8x -6</em></u>

<u><em>f(x) - g(x) is </em></u><u><em>-2x + 5</em></u>

Step-by-step explanation:

<u><em>When finding the answer, we can notice they already give the values for the needed answers.</em></u>

<u><em>The first one requires f(x) and g(x). At the beginning of the question it shows that </em></u><u><em>f(x) is equal to 2x+3. Meaning we can plug in 2x+3 for f(x).</em></u>

<u><em>The same goes for g(x). At the begginning of the question, it shows that </em></u><u><em>g(x) is equal to 4x-2. Meaning we can plug in 4x-2 for g(x).</em></u>

<u><em>f(x) * g(x)</em></u>

<u><em>(2x+3) * (4x-2)</em></u>

<u><em>To find the answer, we need to </em></u><u><em>distibute the 2x+3 into 4x-2</em></u><u><em>.</em></u>

<u><em>To distribute, we do </em></u><u><em>:</em></u>

<u><em>2x * (4x-2)   +   3 * (4x-2)</em></u>

<u><em>First we distribute the 2x</em></u>

<u><em>2x * 4x  =  8x^2        and        2x * -2  =  -4x</em></u>

<u><em>8x^2 - 4x</em></u>

<u><em>Next we distibute the 3</em></u>

<u><em>3 * 4x  =  12x        and        3 * -2 = -6</em></u>

<u><em>12x - 6</em></u>

<u><em>Now we can combine them by</em></u><u><em> adding like terms </em></u><u><em>to get the asnwer:</em></u>

<u><em>8x^2 = 8x^2</em></u>

<u><em>-4x + 12x = 8x</em></u>

<u><em>-6 = -6</em></u>

<u><em>The first answer is </em></u><u><em>8x^2 + 8x -6</em></u>

<u><em>Second question:</em></u>

<u><em>Since we already know the values for f(x) and g(x), all we have to do is </em></u><u><em>plug in the values</em></u><u><em>.</em></u>

<u><em>(2x+3) - (4x-2)</em></u>

<u><em>This time, since we are subtracting, all we have to do is </em></u><u><em>subtract like terms</em></u><u><em>.</em></u>

<u><em>2x - 4x = -2x</em></u>

<u><em>3 - (-2) = 5</em></u>

<u><em>The second answer is </em></u><u><em>-2x + 5</em></u>

3 0
2 years ago
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