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:
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