Question

factor -9x + 33 using the gcf
9(-x + 4)
-9(x + 4)
3(-3x + 11)
-3(3x + 11)

Explanation:

Step1: Find GCF of -9x and 33

The factors of -9x are ±1, ±3, ±9, ±x, ±3x, ±9x. The factors of 33 are ±1, ±3, ±11, ±33. The greatest common factor (GCF) is 3 (considering the negative sign, we can also take -3, but let's check the options).

Step2: Factor out GCF from -9x + 33

Factor out 3: \(3(-3x + 11)\) (since \(3\times(-3x)= -9x\) and \(3\times11 = 33\)). Let's check the options:

• First option: \(9(-x + 4)= -9x + 36\) (not 33, so wrong).
• Second option: \(-9(x + 4)= -9x - 36\) (wrong).
• Third option: \(3(-3x + 11)= -9x + 33\) (correct).
• Fourth option: \(-3(3x + 11)= -9x - 33\) (wrong).

Answer:

1. \(3(-3x + 11)\)