Factor the polynomial $$36x^7 + 12x^5 + 28x^4$$ .

The factored form is $$4x^4(9x^3 + 3x + 7)$$ .

Factor the expression $$x^2 - 5x - 24$$ .

The factored form is $$ (x - 8)(x + 3)$$ .

Factor the expression $$k^2 - 2k - 24$$ .

The factored form is $$ (k + 4)(k - 6)$$ .

Factor the expression $$a^2 - a - 12$$ .

The factored form is $$ (a - 4)(a + 3)$$ .

A trinomial is a polynomial with three terms.

What is the standard form of a quadratic equation?

The standard form is $$ax^2 + bx + c$$ where $$a$$ , $$b$$ , and $$c$$ are constants.

What is the process of factoring a trinomial when $$a = 1$$ ?

To factor a trinomial when $$a = 1$$ , find two numbers that multiply to $$c$$ and add to $$b$$ .

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

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

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

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

What is the difference of squares?

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

What is the first step in factoring by grouping?

The first step is to group terms that have a common factor.

What is the significance of the leading coefficient in a polynomial?

The leading coefficient determines the end behavior of the polynomial's graph.

Factoring (GCF and Trinomials when a=1) Flashcards

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1.

FLASHCARD QUESTION

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2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

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4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

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6.

FLASHCARD QUESTION

Front

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor.

7.

FLASHCARD QUESTION

Front

How do you find the GCF of a polynomial?

Back

To find the GCF, identify the highest power of each variable and the largest coefficient common to all terms.

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