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 = 0, where a, b, and c are constants.

Front

What is the relationship between the coefficients and roots of a trinomial?

Back

The sum of the roots is -b/a and the product of the roots is c/a.

Front

How do you identify the coefficients in a trinomial?

Back

In the trinomial 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: n² + 16n + 63

Back

(n + 7)(n + 9)

Front

Factor the trinomial: m² - 13m + 40

Back

(m - 5)(m - 8)

Front

Factor the trinomial: x² - 15x + 36

Back

(x - 12)(x - 3)

Front

Factor the trinomial: x² - 16x + 48

Back

(x - 12)(x - 4)