Factoring 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 involves 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 significance of the leading coefficient in a trinomial?

Back

The leading coefficient (a) determines the direction of the parabola when graphed.

Front

How do you identify the coefficients in a trinomial?

Back

In ax² + bx + c, a is the coefficient of x², b is the coefficient of x, and c is the constant term.

Front

What is the first step in factoring a trinomial when a=1?

Back

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

Front

Factor the trinomial: x² - 5x + 6

Back

(x - 2)(x - 3)

Front

What is a prime polynomial?

Back

A prime polynomial cannot be factored into simpler polynomials with integer coefficients.

Front

Factor the trinomial: x² + 7x + 10

Back

(x + 2)(x + 5)

Front

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

Back

The roots of a polynomial are the values of x that make the polynomial equal to zero, and they correspond to the factors.