Factoring Quadratic Trinomials

Front

What is a quadratic trinomial?

Back

A quadratic trinomial is a polynomial of the form ax² + bx + c, where a, b, and c are constants, and a ≠ 0.

Front

What does it mean to factor a quadratic trinomial?

Back

Factoring a quadratic trinomial means rewriting it as a product of two binomials.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that divides all terms in a polynomial.

Front

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

Back

The GCF is 3, as it is the largest number that divides all coefficients.

Front

Factor the trinomial x² + x - 6.

Back

(x + 3)(x - 2)

Front

Factor the trinomial 3x² - 17x + 10.

Back

(3x - 2)(x - 5)

Front

Factor the trinomial d² - 10d + 25.

Back

(d - 5)(d - 5) or (d - 5)².

Front

What is the method to factor a quadratic trinomial?

Back

1. Identify a, b, and c. 2. Find two numbers that multiply to ac and add to b. 3. Rewrite the trinomial using these numbers and factor by grouping.

Front

What are the roots of a quadratic equation?

Back

The roots are the values of x that make the equation equal to zero.