Questionx2-3x+2
үржигдэхүүнийг задал.

Studdy Solution

STEP 1

1. We are given a quadratic expression $x^2 - 3x + 2$ .
2. The task is to factor this quadratic expression into the product of two binomials.

STEP 2

1. Identify the structure of the quadratic expression.
2. Find two numbers that multiply to the constant term and add to the linear coefficient.
3. Write the factored form using these numbers.

STEP 3

Identify the structure of the quadratic expression. The expression is in the form $ax^2 + bx + c$ , where $a = 1$ , $b = -3$ , and $c = 2$ .

STEP 4

Find two numbers that multiply to the constant term $c = 2$ and add to the linear coefficient $b = -3$ .
The numbers are $-1$ and $-2$ because:
$(-1) \times (-2) = 2$ $(-1) + (-2) = -3$

STEP 5

Write the factored form using these numbers. The expression $x^2 - 3x + 2$ can be factored as:
$(x - 1)(x - 2)$
The factored form of the expression is:
$\boxed{(x - 1)(x - 2)}$

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