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Which of the following represents the trinomial: 12x^2 + 53x + 20 written in intercept form?a) (4x + 5) (3x + 4)b) (6x + 2) (2x +10)c) (3x + 10) (4x + 2)d) (12x + 5) (x + 4)

Answer :

Answer:

[tex]\text{ (12x+5)(x+4)}[/tex]

Explanation:

Here, we want to write the given polynomial in the intercept form

Mathematically, we start by rewriting the given form as follows:

[tex]\begin{gathered} 12x^2\text{ + 53x + 20} \\ =12x^2\text{ + 48x + 5x + 20} \\ =\text{ 12x(x + 4) + 5(x+4)} \\ =\text{ (12x+5)(x+4)} \end{gathered}[/tex]

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