Question

factor the expression. ×^2-3×+2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To factor the expression x^2 - 3x + 2, we start by looking for two numbers that multiply to give the constant term (2) and add up to give the coefficient of the linear term (-3).

The numbers that satisfy these conditions are -1 and -2, since -1 * -2 = 2 and -1 + (-2) = -3.

So, we can rewrite the expression as:

x^2 - 3x + 2 = (x - 1)(x - 2)

Therefore, the factored form of the expression x^2 - 3x + 2 is (x - 1)(x - 2).

Answer 2

[AI-generated answer — Step-by-Step Bot]

To factor the expression x^2 - 3x + 2, we will look for two numbers that multiply to give 2 and add up to -3 (the coefficient of the middle term).

The factors of 2 are 1, 2, -1, and -2.

The combination that adds up to -3 is -1 and -2.

Therefore, we can rewrite the expression as:

x^2 - 3x + 2 = (x - 1)(x - 2)

So, the factored expression is (x - 1)(x - 2).

Answer 3

[AI-generated answer — Explain Bot]

To factor the expression x^2 - 3x + 2, we need to find two numbers that add up to -3 when multiplied together and give a product of 2.

Step 1: Multiply the coefficient of the x^2 term (1) by the constant term (2). 1 * 2 = 2.

Step 2: Find two numbers that add up to -3 and multiply to give 2. In this case, the numbers are -1 and -2 because -1 + (-2) = -3 and -1 * (-2) = 2.

Step 3: Rewrite the middle term (-3x) using the two numbers found in Step 2. x^2 - 1x - 2x + 2.

Step 4: Group the terms and factor by grouping. (x^2 - 1x) - (2x - 2).

Step 5: Factor out the greatest common factor from each group. x(x - 1) - 2(x - 1).

Step 6: Notice that both groups have a common factor of (x - 1). Factor out (x - 1) from both terms. (x - 1)(x - 2).

Therefore, the factored form of the expression x^2 - 3x + 2 is (x - 1)(x - 2).