Math, asked by sanskruti9589p, 1 month ago

if the product of two expression is x5+x3+x if one of them is x square 2 + x square 1 find the other​

Answers

Answered by SugaryHeart
1

Step-by-step explanation:

Given

The Product of two expressions is x5+x3+x. If one of them is x2+x+1, find the other.

Given product of two expression for example ab = 10. If one is 2, so we get 2b = 10, b = 10/2 = 5

In the same way we need to divide the given expression.

So x^2 + x + 1 ) x^5 + x^3 + x (x^3 – x^2 + x

x^5 + x^4 + x^3

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

-x^4 + x^3 – x^3 + x

-x^4 + x

-x^4 – x^3 – x^2

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

x ^3 + x^2 + x

x^3 + x^2 + x

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

0

Now the expression will be x^3 – x^2 + x

Answered by llMissCrispelloll
0

Answer:

\huge{\underline{\underline{\mathcal{\orange{Answer}}}}}

Let the other equation  be y

According to question

y×(x²+x+1)=x⁵+x³+x 

∵y= \frac{ {x}^{5} \:  +  {x}^{3}  + x }{ {x}^{2} + x + 1 }

Now  By using the long division method 

As shown in the figure 

hence on solving the equation the other expression is x³−x²+x. 

@Hᥱr⳽ᖾᥱყsKᎥ⳽⳽ᥱ⳽⳽

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