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Which of the following expressions is equivalent to 3x2 + 6x – 24?A. 3(x+2)(x–4) B. 3(x–2)(x+4) C. (x+6)(x–12) D. (x–6)(x+12)

Which Of The Following Expressions Is Equivalent To 3x2 6x 24A 3x2x4 B 3x2x4 C X6x12 D X6x12 class=

Sagot :

We are given a quadratic equation and required to factorize it accordingly.

[tex]\begin{gathered} 3x^2+6x-24 \\ 3(x^2+2x-8) \\ \text{Next, we seek factors of -8 and add up to 2.} \\ 3(x^2+2x-4x-8) \\ \text{ We further get the factors of the term in parenthesis} \\ 3(x(x+2)-4(x+2)) \\ 3((x+2)(x-4)) \end{gathered}[/tex]

OPTION A