A binomial is a polynomial that contains exactly two terms, such as $$x + 2$$ or $$3x^2 - 5$$ .

How do you factor a quadratic expression of the form $$ax^2 + bx + c$$ ?

To factor a quadratic expression, find two numbers that multiply to $$ac$$ and add to $$b$$ , then rewrite the expression using these numbers.

What is the factored form of $$x^2 + 10x + 21$$ ?

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

What is the factored form of $$x^2 - 16$$ ?

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

What is a perfect square trinomial?

A perfect square trinomial is an expression that can be factored into the square of a binomial, such as $$x^2 + 6x + 9 = (x + 3)^2$$ .

What is the factored form of $$x^2 + 12x + 36$$ ?

The factored form is $$(x + 6)^2$$ .

How do you factor $$4x^2 - 64$$ ?

Factor out the greatest common factor first: $$4(x^2 - 16)$$ , then use the difference of squares: $$4(x + 4)(x - 4)$$ .

What is the factored form of $$49r^2 - 36$$ ?

The factored form is $$(7r + 6)(7r - 6)$$ .

What is the greatest common factor (GCF)?

The GCF is the largest factor that divides two or more numbers or expressions.

How do you identify the GCF of $$12x^2 + 8x$$ ?

The GCF is $$4x$$ , so you can factor it out: $$4x(3x + 2)$$ .

What is the factored form of $$x^2 + 11x + 18$$ ?

The factored form is $$(x + 9)(x + 2)$$ .

What is a polynomial?

A polynomial is an algebraic expression that consists of variables, coefficients, and non-negative integer exponents.

#3✏️WK 3- Thurs. 1/25/24 HW#3:Flashcardizz Alg Factor Quadratics

Flashcard

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Mathematics

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5th Grade

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Practice Problem

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Easy

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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.

FLASHCARD QUESTION

Front

What is a binomial?

Back

FLASHCARD QUESTION

Front

What does it mean to factor completely?

Back

To factor completely means to break down an expression into its simplest factors, which cannot be factored further.

FLASHCARD QUESTION

Front

What is the difference of squares?

Back

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

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