Factoring Trinomials a=1

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form of ax^2 + bx + c.

Front

What does it mean to factor a trinomial?

Back

Factoring a trinomial involves rewriting it as a product of two binomials.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What is the first step in factoring a trinomial of the form x^2 + bx + c?

Back

Identify two numbers that multiply to c and add to b.

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Back

(x - 7)(x - 3)

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Back

(x + 4)(x - 8)

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Back

(x + 8)(x - 3)

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Back

(x + 2)(x - 10)

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Back

(x + 3)(x - 4)

Front

What is the relationship between the roots of a trinomial and its factors?

Back

The roots of the trinomial are the values of x that make each factor equal to zero.