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
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
Answer:
Let the other equation be y
According to question
y×(x²+x+1)=x⁵+x³+x
Now By using the long division method
As shown in the figure
hence on solving the equation the other expression is x³−x²+x.