4.3 Flashcardizz. Factoring Trinomials; a=1 & DOTPS

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 quadratic equation?

Back

The coefficient 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and affects the width of the parabola.

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' in the trinomial ax^2 + bx + c.

Front

Factor the trinomial: x^2 + 12x + 36

Back

(x + 6)(x + 6)

Front

Factor the trinomial: a^2 - a - 12

Back

(a - 4)(a + 3)

Front

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

Back

(x - 12)(x - 4)

Front

Factor the trinomial: x^2 - 8x + 15

Back

(x - 5)(x - 3)

Front

Factor the trinomial: n^2 + 5n - 6

Back

(n - 1)(n + 6)