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3 years ago

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

1 answer:

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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Logan's mom says that it is very likely it will rain tomorrow.

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Answer:1/2

Step-by-step explanation:it’s a 50/50 chance

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3 years ago

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2 years ago

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

-x² - 4x

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

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

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3 years ago

How can i factor this? 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

And now put x^n back: (x^n - 1)^2

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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:

f(x) * g(x) is 8x^2 + 8x -6

f(x) - g(x) is -2x + 5

Step-by-step explanation:

When finding the answer, we can notice they already give the values for the needed answers.

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

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

f(x) * g(x)

(2x+3) * (4x-2)

To find the answer, we need to distibute the 2x+3 into 4x-2.

To distribute, we do :

2x * (4x-2) + 3 * (4x-2)

First we distribute the 2x

2x * 4x = 8x^2 and 2x * -2 = -4x

8x^2 - 4x

Next we distibute the 3

3 * 4x = 12x and 3 * -2 = -6

12x - 6

Now we can combine them by adding like terms to get the asnwer:

8x^2 = 8x^2

-4x + 12x = 8x

-6 = -6

The first answer is 8x^2 + 8x -6

Second question:

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

(2x+3) - (4x-2)

This time, since we are subtracting, all we have to do is subtract like terms.

2x - 4x = -2x

3 - (-2) = 5

The second answer is -2x + 5

3 0

2 years ago