Factoring Trinomials a=1

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax^2 + 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 ax^2 + bx + c = 0, where a, b, and c are constants.

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: x^2 + 9x - 36

Back

(x + 12)(x - 3)

Front

Factor the trinomial: a^2 - a - 12

Back

(a - 4)(a + 3)

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a trinomial that can be expressed as the square of a binomial, e.g., (x + a)^2.

Front

Factor the trinomial: d^2 - 10d + 25

Back

(d - 5)(d - 5) or (d - 5)^2

Front

What is the significance of the coefficients in a trinomial?

Back

The coefficients determine the shape and position of the parabola represented by the quadratic equation.

Front

Factor the trinomial: b^2 + 8b + 7

Back

(b + 7)(b + 1)