Question

Factor completely 3x - 15.
O 3(x - 5)
O 3(x + 5)
O 3x(-15)
O Prime

Answer 1

Answer: First Choice. 3 ( x - 5 )

Explanation:

Concept:

When we are doing factoring, we should try to find any Greatest Common Factor (GCF) of all constants in the given expression.

The Greatest Common factor is the largest value of the values you have, that multiplied by the whole number is able to "step onto both".

Solve:

Factors of 3: 1, 3

Factors of 15: 1, 3, 5, 15

As we can see from the list above, 3 appears in both lists of factors and is the greatest for 3. Therefore, [3] is the GCF of 3 and 15

Divide 3 for both numbers to find the remaining.

• 3x / 3 - 15 / 3
• x - 5

Check whether or not the remaining can be divisible

• Ans: NO

Put the factored out 3 and remaining together

• 3 ( x - 5)

Hope this helps!! :)

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