ALG Unit 5b: Factor Trinomials- Lead Coefficient 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 lead coefficient in a trinomial?

Back

The lead coefficient is the coefficient of the term with the highest degree (the x^2 term) in a polynomial.

Front

How do you identify the factors of a trinomial of the form x^2 + bx + c?

Back

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

Front

What is the factored form of x^2 - 16x + 48?

Back

(x - 12)(x - 4)

Front

What is the factored form of x^2 - 15x + 36?

Back

(x - 12)(x - 3)

Front

What is the factored form of r^2 - 16r + 60?

Back

(r - 6)(r - 10)

Front

What is the factored form of n^2 + 5n - 6?

Back

(n - 1)(n + 6)

Front

What is the factored form of a^2 - a - 12?

Back

(a - 4)(a + 3)

Front

What is the significance of the signs in the factors of a trinomial?

Back

The signs in the factors indicate whether the roots of the trinomial are positive or negative, affecting the overall shape of the parabola.