6.5 ASSIGN Factoring Trinomials

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form of ax^2 + bx + c.

Front

What does it mean to factor a trinomial?

Back

Factoring a trinomial means expressing it as a product of two binomials.

Front

Factor the trinomial: x^2 + 9x - 36

Back

(x + 12)(x - 3)

Front

Factor the trinomial completely: x^2 + 16x + 64

Back

(x + 8)(x + 8)

Front

Factor the expression: k^2 - 2k - 24

Back

(k + 4)(k - 6)

Front

What is the purpose of factoring in algebra?

Back

Factoring helps to simplify expressions and solve equations, particularly to find x-intercepts.

Front

Identify the factors of the trinomial: x^2 + 5x + 6

Back

(x + 2)(x + 3)

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as a + b.

Front

Factor the expression: x^2 - 9

Back

(x + 3)(x - 3) (Difference of squares)

Tags

CCSS.HSA.APR.C.4

Front

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

Back

The sum of the factors equals the coefficient of the x term, and the product equals the constant term.