Question

Find all possible values of b such that 4x² + bx + 3 can be factored. Check all that apply.

Answer 1

The possible values of b are 7 and 8

How to determine the possible values of x?

The expression is given as:

4x² + bx + 3

Next, we test the options to determine the values of b

Option 1: b = 13

So, we have:

4x² + 13x + 3 ---- this cannot be factorized

Option 2: b = 7

So, we have:

4x² + 7x + 3  

Expand

4x² + 4x + 3x + 3

Factorize

4x(x +1) + 3(x + 1)

Factor out x + 1

(4x + 3)(x + 1) ------ this can be factorized

Option 3: b = 8

So, we have:

4x² + 8x + 3

Expand

4x² + 6x + 2x + 3

Factorize

2x(2x +3) + 1(2x + 3)

Factor out 2x + 3

(2x + 3)(2x + 1) ------ this can be factorized

Option 4: b = 1

So, we have:

4x² + x + 3 ---- this cannot be factorized

Hence, the possible values of b are 7 and 8

Read more about factorized expressions at:

brainly.com/question/723406

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