Find two values of "b" so that x^2 + b x + 6 can be factored into binomial factors.​

Given:

The expression is

To find:

The values of b so that the given expression can be factored into binomials factors.

Solution:

An expression is factorable if b is the sum of possible factors of ac.

We have,

Here, .

Some, factor forms of 6 are (1×6) and (2×3).

For b=7,

For b=5,

Therefore, the two possible values of b are 7 and 5.

it is b)

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