Answer:
- Prime: 3
- GCF: 1
- Factoring Trinomials: 4
- Difference of Squares: 2
- Perfect Square Trinomial (PST): 5
Explanation:
1. Each term has an even coefficient, so a factor of 2 can be removed:
2(3x^2 +7x -15)
The remaining quadratic factor is prime.
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2. Each of these two terms is a square, so this is the difference of two squares.
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3. This cubic has one irrational negative real root. It is prime.
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4. This trinomial factors in the usual way: (x +15)(x -2). It is factored by "factoring trinomials."
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5. The magnitude of the x-coefficient is double the square root of the (positive) constant, so this is a perfect square trinomial.