Question

Match each algebraic expression with the method to use for factoring.

Answer 1

Answer:

• Prime: 3
• GCF: 1
• Factoring Trinomials: 4
• Difference of Squares: 2
• Perfect Square Trinomial (PST): 5

Step-by-step 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.