Factoring Trinomials (a=1)

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of 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 of a quadratic equation is ax^2 + bx + c = 0.

Front

What is the significance of the coefficient 'a' in a trinomial?

Back

The coefficient 'a' determines the shape and direction of the parabola represented by the quadratic equation.

Front

How do you identify the factors of a trinomial?

Back

To identify the factors, look for two numbers that multiply to 'c' and add to 'b'.

Front

Factor the trinomial: n^2 - 12n + 35

Back

(n - 7)(n - 5)

Front

Factor the trinomial: r^2 - 16r + 60

Back

(r - 6)(r - 10)

Front

Factor the trinomial: x^2 - 16x + 48

Back

(x - 12)(x - 4)

Front

Factor the trinomial: x^2 - 15x + 36

Back

(x - 12)(x - 3)

Front

What does it mean if a trinomial cannot be factored?

Back

If a trinomial cannot be factored, it is called a prime polynomial.