Question

multiple-choice question if there is not a gcf, can you factor it? no yes rewatch 6. 2p - 9 gcf: — prime 8. 10v + 45 10. 16a - 12b

Explanation:

Step1: Analyze 2p - 9 for GCF

The terms are $2p$ and $-9$. The GCF of 2 and 9 is 1, and there is no common variable. A polynomial with GCF 1 that cannot be factored further is prime, so it cannot be factored.

Step2: Factor 10v + 45

Find GCF of 10 and 45: $\text{GCF}(10,45)=5$. Factor out 5:
$10v + 45 = 5(2v + 9)$

Step3: Factor 16a - 12b

Find GCF of 16 and 12: $\text{GCF}(16,12)=4$. Factor out 4:
$16a - 12b = 4(4a - 3b)$

Step4: Answer multiple-choice question

Since $2p-9$ is prime (no GCF other than 1 and cannot be factored), the answer to "If there is not a GCF, can you factor it?" is No.

Answer:

1. For $2p-9$: Prime, cannot be factored
2. For $10v+45$: $5(2v + 9)$
3. For $16a-12b$: $4(4a - 3b)$
4. Multiple-choice answer: No