<u>Answer</u><u>: </u>
The correct option is C.
<u> Explanation: </u>
<u>Given:</u>
Dividend = -2x^3-5x^2+4x+2
Divider =(x+2)
<u>Solution</u>:
Now by using the division method , we will find out the quotient and remainder of the given equation
And the equation will become
So , We will get the quotient =
And Remainder = -10
Hence the Correct option which perfectly satisfy the given equation is C.
The expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)
A cubic equation in algebra is a one-variable equation of the form ax3+bx2+cx+d=0 where an is nonzero. The roots of the cubic function defined by the left side of this equation are the solutions to this equation.
Given expression 2x³-3x²-3x+2 whose one of factor is (x-2)
We have to find second factor of given equation
First we will be rational root theorem to given expression so will get following expression:
So one factor is (x-1) and now simplifying we get 2x² - 5x +2 and the factor of 2x² - 5x +2 will be (2x-1)(x-2)
Hence the expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)
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