Factor Trinomials (a=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 it mean to factor a trinomial?

Back

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

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c, where a, b, and c are constants.

Front

What is the leading coefficient in a trinomial?

Back

The leading coefficient is the coefficient of the term with the highest degree, usually 'a' in ax².

Front

What is the significance of the discriminant in factoring?

Back

The discriminant (b² - 4ac) helps determine the nature of the roots of the quadratic equation.

Front

How do you determine if a trinomial is prime?

Back

A trinomial is prime if it cannot be factored into the product of two binomials.

Front

Factor the trinomial: x² + 6x + 20

Back

PRIME

Front

Factor the trinomial: x² + 2x - 3

Back

(x - 1)(x + 3)

Front

Factor the trinomial: a² - a - 12

Back

(a - 4)(a + 3)

Front

Factor the trinomial: n² + 5n - 6

Back

(n - 1)(n + 6)