Answer:
[tex]4b^2 - 5b - 6 = 4b^2 -8b + 3b - 6 = 4b(b -2 )+3(b-2) = (4b+3)(b-2)[/tex]
option B
The factor form for of given expression is [tex](4b+3)(b-2)[/tex].
What is a method of factorizing?
Quadratic factorization using splitting of middle term : In this method splitting of middle term in to two factors.
The middle term of the given expression -5b can be split as 3b-8b.
On using this in the given expression we get,
[tex]4b^2-5b-6=4b^2+3b-8b-6[/tex]
Take common factor out from first two and last two terms,
[tex]b(4b+3)-2(4b+3)[/tex]
Take the common factor out.
[tex](4b+3)(b-2)[/tex]
Therefore, the factor form of given expression is [tex](4b+3)(b-2)[/tex].
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