Which expression is the result of factoring the expression below by taking out its greatest common factor? 6x^(2)-3x+12=? Choose 1 answer: (A) 6(x^(2)-3x+2) (B) 6x(x^(2)-3x+2) (C) 3x(2x^(2)-x+4) (D) 3(2x^(2)-x+4)

Question

Which expression is the result of factoring the expression below by taking out its greatest common factor?  6x^(2)-3x+12=? Choose 1 answer: (A)  6(x^(2)-3x+2) (B)  6x(x^(2)-3x+2) (C)  3x(2x^(2)-x+4) (D)  3(2x^(2)-x+4)

Bytelearn · Accepted Answer

Identify GCF of terms: Identify the greatest common factor (GCF) of the terms in the expression 6x^2 - 3x + 12. The terms are 6x^2, -3x, and 12. The GCF of the coefficients (6, -3, 12) is 3.Check for common variable factor: Check if there is a common variable factor in all terms. The terms 6x^2 and -3x both have the variable x, but 12 does not have any variable factor. Therefore, the variable x is not part of the GCF.Factor out GCF from each term: Factor out the GCF from each term in the expression. Divide each term by the GCF (3) to find the expression inside the parentheses. 6x^2 ÷ 3 = 2x^2 -3x ÷ 3 = -x 12 ÷ 3 = 4Write factored expression: Write the factored expression using the GCF. The factored expression is 3(2x^2 - x + 4).

Which expression is the result of factoring the expression below by taking out its greatest common factor? $\newline$ $6x^{2}-3x+12=$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $6(x^{2}-3x+2)$ $\newline$ (B) $6x(x^{2}-3x+2)$ $\newline$ (C) $3x(2x^{2}-x+4)$ $\newline$ (D) $3(2x^{2}-x+4)$

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