Step-by-step explanation:
12x2 - 11x - 36
12x2 - 27x + 16x - 36
3x (4x - 9) + 4(4x - 9)
(4x - 9) and (3x + 4) are the factors
The factors of the trinomial are [tex](4x-9)(3x+4)[/tex].
A trinomial is an algebraic expression that has three non-zero terms. If three monomials are separated by addition or subtraction, then it is a trinomial.
For the given situation,
The trinomial is 12x^2-11x-36.
The given trinomial is a quadratic equation.
The quadratic equation can be factored as
⇒ [tex]12x^2-11x-36[/tex]
⇒ [tex]12x^2-27x+16x-36[/tex]
⇒ [tex]3x(4x-9)+4(4x-9)[/tex]
⇒ [tex](4x-9)(3x+4)[/tex]
Hence we can conclude that the factors of the trinomial are [tex](4x-9)(3x+4)[/tex].
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