Answer :
Sure! Let's factor the given quadratic expressions by pulling out the Greatest Common Factor (GCF) only.
11. For the expression [tex]\(6x^2 + 9\)[/tex]:
1. Identify the GCF:
- The coefficients are 6 and 9.
- The GCF of 6 and 9 is 3.
2. Factor out the GCF:
- Divide each term by the GCF and factor it out.
- [tex]\(6x^2 + 9 = 3(2x^2 + 3)\)[/tex].
So, the factored form of [tex]\(6x^2 + 9\)[/tex] by pulling out the GCF is [tex]\(3(2x^2 + 3)\)[/tex].
12. For the expression [tex]\(5x^2 + 25x + 20\)[/tex]:
1. Identify the GCF:
- The coefficients are 5, 25, and 20.
- The GCF of 5, 25, and 20 is 5.
2. Factor out the GCF:
- Divide each term by the GCF and factor it out.
- [tex]\(5x^2 + 25x + 20 = 5(x^2 + 5x + 4)\)[/tex].
So, the factored form of [tex]\(5x^2 + 25x + 20\)[/tex] by pulling out the GCF is [tex]\(5(x^2 + 5x + 4)\)[/tex].
I hope this helps! If you have any more questions, feel free to ask.
11. For the expression [tex]\(6x^2 + 9\)[/tex]:
1. Identify the GCF:
- The coefficients are 6 and 9.
- The GCF of 6 and 9 is 3.
2. Factor out the GCF:
- Divide each term by the GCF and factor it out.
- [tex]\(6x^2 + 9 = 3(2x^2 + 3)\)[/tex].
So, the factored form of [tex]\(6x^2 + 9\)[/tex] by pulling out the GCF is [tex]\(3(2x^2 + 3)\)[/tex].
12. For the expression [tex]\(5x^2 + 25x + 20\)[/tex]:
1. Identify the GCF:
- The coefficients are 5, 25, and 20.
- The GCF of 5, 25, and 20 is 5.
2. Factor out the GCF:
- Divide each term by the GCF and factor it out.
- [tex]\(5x^2 + 25x + 20 = 5(x^2 + 5x + 4)\)[/tex].
So, the factored form of [tex]\(5x^2 + 25x + 20\)[/tex] by pulling out the GCF is [tex]\(5(x^2 + 5x + 4)\)[/tex].
I hope this helps! If you have any more questions, feel free to ask.
