Problem

What is the factorization of the trinomial below? \[ x^{2}-7 x+6 \] A. $(x+3)(x-2)$ B. $(x-6)(x-1)$ C. $(x-3)(x-2)$ D. $(x+6)(x-1)$

Solution

Step 1 :The factorization of a quadratic trinomial of the form \(ax^2 + bx + c\) can be found by finding two numbers that add up to \(b\) and multiply to \(c\).

Step 2 :In this case, we need to find two numbers that add up to -7 and multiply to 6.

Step 3 :The numbers -1 and -6 fit these criteria, so the factorization of the trinomial is \((x - 1)(x - 6)\).

Step 4 :\(x = x\)

Step 5 :\(expr = x^2 - 7*x + 6\)

Step 6 :\(factored_expr = (x - 6)*(x - 1)\)

Step 7 :\(\boxed{\text{Final Answer: The factorization of the trinomial } x^{2}-7 x+6 \text{ is } (x-6)(x-1)}\)

From Solvely APP
Source: https://solvelyapp.com/problems/15892/

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