How do you find the factors of $$x^2 + 9x - 36$$ ?

To factor $$x^2 + 9x - 36$$ , look for two numbers that multiply to -36 and add to 9. The factors are $$(x + 12)(x - 3)$$ .

What is the factored form of $$n^2 + 16n + 63$$ ?

The factored form is $$(n + 7)(n + 9)$$ .

How do you factor $$n^2 - 12n + 35$$ completely?

The factors are $$(n - 7)(n - 5)$$ .

What is the factored form of $$m^2 - 6m - 27$$ ?

The factored form is $$(m + 3)(m - 9)$$ .

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

The leading coefficient (a) determines the direction of the parabola: if a > 0, it opens upwards; if a

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?

Multiply the factors back together to see if you obtain the original quadratic expression.

What is the factored form of $$x^2 - 5x - 36$$ ?

The factored form is $$(x + 4)(x - 9)$$ .

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

Factoring Quadratics a = 1

Flashcard

•

Mathematics

•

7th - 11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.APR.B.2, HSF-IF.C.7A, HSA-REI.B.4B

Standards-aligned

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FLASHCARD QUESTION

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

FLASHCARD QUESTION

Front

What is a quadratic expression?

Back

FLASHCARD QUESTION

Front

What does it mean for a quadratic to be factorable?

Back

A quadratic is factorable if it can be expressed as the product of two binomials.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

FLASHCARD QUESTION

Front

What is the relationship between the roots and factors of a quadratic?

Back

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