Question

Factor 4n 2 - 5n - 6.
a.(4n - 3)(n + 2)
b.(4n + 3)(n - 2)
c.(4n + 2)(n - 3)

Answer 1

The correct answer is this: which is B) It's just backwards (n - 2) • (4n + 3)

Answer 2

The factorized form of 4n^2 -5n-6 is (4n+3)(n-2)

Explanation:

The simplest way to determine the correct factorized form is to expand the equation of each option. Remember:

(a+b)(c+d) =a.c + a.d + b.c + b.d

Let's calculate the expansion of each factortorized form:

`A)\ (4n-3)(n+2) = 4(n).(n)+(4n)(2)+(-3)(n)+(-3).(2)`

`= 4n^2+8n-3n-6`

`= 4n^2+5n-6`

`B)\ (4n+3)(n-2) = 4(n).(n)+(4n)(-2)+(3)(n)+(3).(-2)`

`4n^2-8n+3n-6`

`4n^2-5n-6`

`C)\ (4n+2)(n-3) = 4(n).(n)+(4n)(-3)+(2)(n)+(2).(-3)`

`=4n^2-12n+2n-6`

`=4n^2-10n-6`

Note that all the option have the same qaudratic (4) and independent (-6) coefficents but only the options B have the same linear coefficents (-5).