What is the factored form of $$x^2 - 9$$ ?

The factored form is $$(x + 3)(x - 3)$$ .

What is the factored form of $$x^2 + 5x + 6$$ ?

The factored form is $$(x + 2)(x + 3)$$ .

What is the difference of squares?

The difference of squares is a special case of factoring, expressed as $$a^2 - b^2 = (a + b)(a - b)$$ .

What is the factored form of $$2x^2 + 8x$$ ?

The factored form is $$2x(x + 4)$$ .

What is the zero-product property?

The zero-product property states that if $$ab = 0$$ , then either $$a = 0$$ or $$b = 0$$ .

How do you check if your factors are correct?

You can check by multiplying the factors back together to see if you get the original trinomial.

What is the factored form of $$3v^2 - 4v - 7$$ ?

The factored form is $$(3v - 7)(v + 1)$$ .

What is the factored form of $$2x^2 + 13x + 15$$ ?

The factored form is $$(2x + 3)(x + 5)$$ .

What is the significance of the middle term in a quadratic trinomial?

The middle term helps determine the factors of the trinomial and is crucial for splitting the term.

What is the factored form of $$x^2 - 100$$ ?

The factored form is $$(x + 10)(x - 10)$$ .

Factoring Quadratic Trinomials Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic trinomial?

Back

2.

FLASHCARD QUESTION

Front

What does it mean to factor a quadratic trinomial?

Back

Factoring a quadratic trinomial means rewriting it as a product of two binomials.

3.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

4.

FLASHCARD QUESTION

Front

What is the first step in factoring a quadratic trinomial?

Back

5.

FLASHCARD QUESTION

Front

How do you find the factors of a quadratic trinomial?

Back

6.

FLASHCARD QUESTION

Front

Back

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