Algebra-1

To factor the quadratic expression , we can follow these steps:

1.Identify the Coefficients: In the quadratic expression of the form

Here, a = 1 (the coefficient of ) ,

b = -5 (the coefficient of x),

c = 6 (the constant term).

2.Find the Product and Sum: We need to find two numbers that:

Multiply to c = 6,

Add up to b = -5.

3.List Factor Pairs of 6: Consider the pairs of factors of 6:

(1, 6)

(2, 3)

Since we need a negative sum, we should consider negative pairs:

(-1, -6)

(-2, -3)

4.Choose the Correct Pair: The pair -2 and -3 fits our requirements:

They multiply to

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