Factor the expression completely. 12 x+54 Answer:

Identify GCF of terms: Identify the Greatest Common Factor (GCF) of the terms 12x and 54. Factors of 12x: 1, 2, 3, 4, 6, 12, x, 2x, 3x, 4x, 6x, 12x Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54 GCF of 12x and 54: 6Divide by GCF: Divide each term by the GCF to find the factors. 12x / 6 = 2x 54 / 6 = 9Write as product: Write the expression as a product of the GCF and the factors found in Step 2. 12x + 54 = 6(2x + 9)

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Grade 7

Write fractions in lowest terms

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Q. Factor the expression completely.

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12 x+54

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Answer:

Identify GCF of terms: Identify the Greatest Common Factor (GCF) of the terms $12x$ and $54$ . $\newline$ Factors of $12x$ : $1$ , $2$ , $3$ , $4$ , $6$ , $12$ , $x$ , $54$ $0$ , $54$ $1$ , $54$ $2$ , $54$ $3$ , $12x$ $\newline$ Factors of $54$ : $1$ , $2$ , $3$ , $6$ , $12x$ $0$ , $12x$ $1$ , $12x$ $2$ , $54$ $\newline$ GCF of $12x$ and $54$ : $6$
Divide by GCF: Divide each term by the GCF to find the factors. $\newline$ $\frac{12x}{6} = 2x$ $\newline$ $\frac{54}{6} = 9$
Write as product: Write the expression as a product of the GCF and the factors found in Step $2$ . $\newline$ $12x + 54 = 6(2x + 9)$