Factoring Trinomials (a not 1)

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.

Front

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides all terms in a polynomial.

Front

How do you find the GCF of the trinomial 3x² - 9x - 120?

Back

The GCF of 3x² - 9x - 120 is 3.

Front

What is the first step in factoring a trinomial?

Back

The first step is to identify the GCF of all the terms in the trinomial.

Front

Factor the trinomial 3v² - 4v - 7.

Back

(3v - 7)(v + 1) is the factored form.

Front

What is the factored form of 6x² + 5x - 6?

Back

(3x - 2)(2x + 3) is the factored form.

Front

How do you factor a trinomial of the form ax² + bx + c?

Back

Look for two numbers that multiply to ac and add to b, then rewrite the middle term.

Front

Factor the trinomial 4n² - 17n - 15.

Back

(n - 5)(4n + 3) is the factored form.

Front

What is the factored form of 4h² - 17h + 4?

Back

(h - 4)(4h - 1) is the factored form.

Front

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

Back

The leading coefficient (a) affects the shape and direction of the parabola represented by the trinomial.