8.2 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 relationship between the coefficients and the roots of a trinomial?

Back

The sum of the roots is equal to -b/a and the product of the roots is equal to c/a.

Front

How do you factor k^2 - 2k - 24?

Back

(k + 4)(k - 6) is the factored form.

Front

What is the factored form of d^2 - 10d + 25?

Back

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

Front

How do you factor x^2 + 12x + 35?

Back

(x + 5)(x + 7) is the factored form.

Front

What is the factored form of n^2 + 16n + 63?

Back

(n + 7)(n + 9) is the factored form.

Front

How do you factor n^2 - 13n + 40?

Back

(n - 5)(n - 8) is the factored form.

Front

What is the first step in factoring a trinomial?

Back

Identify two numbers that multiply to 'c' and add to 'b'.