Final answer to the problem
$f\left(x\right)=x^{3}-5x^2+7x-3$
Step-by-step Solution
Learn how to solve algebraic expressions problems step by step online. F\left(x\right) = \left(x - 3\right)\left(x - 2\right)\left(x - 1\right) + \left(x - 1\right)\left(x - 2\right) - \left(x - 1\right). Math interpretation of the question. Simplify the product -(x-1). The product of two binomials of the form (x+a)(x+b) is equal to the product of the first terms of the binomials, plus the algebraic sum of the second terms by the common term of the binomials, plus the product of the second terms of the binomials. In other words: (x+a)(x+b)=x^2+(a+b)x+ab. Subtract the values -3 and -2.
Final answer to the problem
$f\left(x\right)=x^{3}-5x^2+7x-3$
