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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Answer:
#2) is 25
Step-by-step explanation:
the best way to solve any of theses is in the order of pemdas:
●parentheses
●exponents
●multiplication & division
●addition & subtraction
for example lets do #2
9+ (2^2)(4)
the first parenthesis has exponents so you'd do it first. 2^2 (two two times) is 4
9+(4)(4)
when two parentheses are next to Each other you multiply. 4x4 is 16
9+16
then finally you add
25
use these steps for the rest. just comment if you have any questions
To factor, you can first treat it like a single bracket and find the common factor. In this case, the common factor is 3x, so you get
3x(x² + 7x + 12)
Now you can factor the bracket normally, by finding factors of 12 that add up to make 7. The factors would be 3 and 4, so the bracket becomes (x + 3)(x + 4).
This leaves your final answer as
3x(x + 3)(x + 4)
I hope this helps!
M+n+3+m+n+4
=3m+2n+7
answer
C. 3m+2n+7