CW_Factoring Trinomials # 1

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is a trinomial?

Back

A trinomial is a polynomial with 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

How do you identify the coefficients in a trinomial?

Back

In a trinomial ax^2 + bx + c, 'a' is the coefficient of x^2, 'b' is the coefficient of x, and 'c' is the constant term.

Front

What is the relationship between the roots and factors of a polynomial?

Back

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

Front

What is the method to factor x^2 + bx + c?

Back

To factor x^2 + bx + c, find two numbers that multiply to 'c' and add to 'b'.

Front

Factor the trinomial: x^2 + 5x + 4

Back

(x + 4)(x + 1)

Front

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

Back

(n - 1)(n + 6)

Front

Factor the trinomial: x^2 - 5x - 36

Back

(x + 4)(x - 9)