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stiv31 [10]
3 years ago
6

PLEASE ANSWER RIGHT FOR BRAINLIEST. AND NO THIS IS NOT A TEST ITS A PRACTICE.

Mathematics
1 answer:
Fiesta28 [93]3 years ago
4 0

Answer:

Hi

Step-by-step explanation:

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Divide f(x) by d(x), and write a summary statement in the form indicated.
Mandarinka [93]

Answer:

The correct option is B)  f(x) =(x^2+1)(x^2+4x+5)

Step-by-step explanation:

Consider the provided function.

f(x) = x^4 + 4x^3 + 6x^2 + 4x + 5 and d(x) = x^2+1

We need to divide f(x) by d(x)

As we know: Dividend = Divisor × Quotient + Remainder

In the above function f(x) is dividend and divisor is d(x)

Divide the leading term of the dividend by the leading term of the divisor:\frac{x^4}{x^2}=x^2

Write the calculated result in upper part of the table.

Multiply it by the divisor: x^2(x^2+1)=x^4+x^2

Now Subtract the dividend from the obtained result:

(x^4 + 4x^3 + 6x^2 + 4x + 5)-(x^4-x^2)=4x^3+5x^2+4x+5

Again divide the leading term of the obtained remainder by the leading term of the divisor: \frac{4x^3}{x^2}=4x

Write the calculated result in upper part of the table.

Multiply it by the divisor: 4x(x^2+1)=4x^3+4x

Subtract the dividend:

(4x^3+5x^2+4x+5)-(4x^3+4x)=5x^2+5

Divide the leading term of the obtained remainder by the leading term of the divisor: \frac{5x^2}{x^2}=5

Multiply it by the divisor: 5(x^2+1)=5x^2+5

Subtract the dividend:

(5x^2+5)-(5x^2+5)=0

Therefore,

Dividend = x^4 + 4x^3 + 6x^2 + 4x + 5

Divisor = x^2+1

Quotient = x^2+4x+5

Remainder = 0

Dividend = Divisor × Quotient + Remainder

f(x) = (x^2+1)(x^2+4x+5)

Hence, the correct option is B)  f(x) =(x^2+1)(x^2+4x+5)

3 0
3 years ago
Sunglass for $44.95 is on sale for 40% off the original price . Find the amount of discount off and new sale price
attashe74 [19]
Discount: $17.98
Sale Price: $26.97
6 0
3 years ago
(4x+1)(3x-5) / 10x^2 +2x • A / 15x2 -22x -5 = 64 x^2 -4 / 5x + 1
AfilCa [17]

Answer:

<u>a+-36x^4+51x^3+1935x^2+636x+180</u>

                       4x^3

Step-by-step explanation:

5 0
3 years ago
If f(x) = –3x – 5 and g(x) = 4x – 2, find (f – g)(x).
Vikki [24]

Answer:

(f-g)(x)=-7x-3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help I will thank u
elena55 [62]

Simplify -45/6 to -15/2, and your answer as a decimal will be -7.5.

8 0
3 years ago
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