Question

The result of 4x³ ÷ 8x² is​

Answer 1

Answer:

We divide the polynomial 4x

3

+8x

2

+8x+7 by 2x

2

−x+1 as shown in the above image:

From the above division, we conclude that the quotient is 2x+5 and the remainder is 11x+2.

Therefore, we should add −(11x+2) to make the given polynomial 4x

3

+8x

2

+8x+7 divisible by 2x

2

−x+1.

Hence, −11x−2 must be added to the polynomial 4x

3

+8x

2

+8x+7 so that the resulting polynomial is exactly divisible by 2x

2

−x+1.

Step-by-step explanation:

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Answer 2

Answer:

Hey Army!

We know the exponential rule, when 2 values will divide, their powers will subtract.

Let's get it....! (lol)

First we can write 8 as 2³

so in the second term : (2x³)³

here the values will multiply because of the exponential rule: 2x^9

Second, we can write 4 as 2²

so in the first term : (2x³)²

here also multiply because of exponential rule

2x^6

HENCE NEW TERMS ARE

2x^6 ÷ 2x^9

so bcoz the terms are same now, that is 2x...we can apply the first sentence's exponential rule...

Hence,

Talking 2x as common, we get

2x^6-9

2x-³

or if we write in positive we get

(1/2x)³

HOPE IT HELPS YOU

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BORAHAE!!!