How do you factor the expression $$x^2 + 10x + 25$$ ?

The expression factors to $$(x + 5)^2$$ .

What is the first step in factoring a quadratic expression?

The first step is to look for a common factor in all terms, if one exists.

How do you factor the expression $$7x^2 + 40x - 12$$ ?

The expression factors to $$(7x - 2)(x + 6)$$ .

What is the significance of the coefficients in a quadratic expression?

The coefficients $$a$$ , $$b$$ , and $$c$$ determine the shape and position of the parabola represented by the quadratic expression.

How do you factor the expression $$3x^2 + 17x + 24$$ ?

The expression factors to $$(3x + 8)(x + 3)$$ .

What is the method for factoring quadratics when the leading coefficient is not 1?

Use the method of grouping or trial and error to find two numbers that multiply to $$ac$$ and add to $$b$$ .

How do you factor the expression $$121x^2 - 49$$ ?

The expression factors to $$(11x + 7)(11x - 7)$$ .

What is the role of the discriminant in factoring quadratics?

The discriminant, given by $$b^2 - 4ac$$ , determines the nature of the roots of the quadratic equation.

Factoring quadratics Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

2.

FLASHCARD QUESTION

Front

What is a quadratic expression?

Back

3.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

4.

FLASHCARD QUESTION

Front

What does it mean to factor a quadratic expression completely?

Back

To factor a quadratic expression completely means to express it as a product of linear factors, if possible.

5.

FLASHCARD QUESTION

Front

What is the formula for factoring a perfect square trinomial?

Back

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