90 second Trinomials

Front

What is a trinomial?

Back

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

Front

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

Back

To factor a trinomial of the form x^2 + bx + c, find two numbers that multiply to c and add to b.

Front

Factor: x^2 - 5x - 36

Back

(x + 4)(x - 9)

Front

Factor: x^2 - 15x + 50

Back

(x - 10)(x - 5)

Front

Factor completely: x^2 + 6x + 5

Back

(x + 5)(x + 1)

Front

What is the result of expanding (b + 7)(b + 1)?

Back

b^2 + 8b + 7

Front

Factor: b^2 + 8b + 7

Back

(b + 7)(b + 1)

Front

What is the first step in factoring a trinomial?

Back

Identify the coefficients a, b, and c in the trinomial ax^2 + bx + c.

Front

What does it mean to factor a polynomial completely?

Back

Factoring a polynomial completely means breaking it down into irreducible factors.

Front

What is the relationship between the roots of a trinomial and its factors?

Back

The roots of a trinomial are the values of x that make the trinomial equal to zero, and they correspond to the factors of the trinomial.