Simplify f(x)*(2x^3)-4x^2+x-2

Problem

2*x3−4*x2+x−2

Solution

1. Group the terms of the polynomial into two pairs to prepare for factoring by grouping.

(2*x3−4*x2)+(x−2)

2. Factor out the greatest common factor from the first pair, which is 2*x2

2*x2*(x−2)+1*(x−2)

3. Identify the common binomial factor (x−2) present in both terms.

(x−2)*(2*x2+1)

Final Answer

2*x3−4*x2+x−2=(x−2)*(2*x2+1)

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