Question

factor the linear expression 50x - 30 using the greatest common factor of the terms. 2 of 4 questions 50(x - 3) 10(5x + 3) 5(10x + 6) 10(5x - 3)

Explanation:

Step1: Find GCF of 50 and 30

Factors of 50: \(1, 2, 5, 10, 25, 50\)
Factors of 30: \(1, 2, 3, 5, 6, 10, 15, 30\)
GCF is \(10\).

Step2: Factor out GCF

Divide each term by 10:
\(50x \div 10 = 5x\), \( -30 \div 10 = -3\)
So, \(50x - 30 = 10(5x - 3)\).

Answer:

10(5x - 3)