Factoring when a =1

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

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 for a polynomial to be factored completely?

Back

A polynomial is factored completely when it is expressed as a product of its irreducible factors.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c, where a, b, and c are constants.

Front

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

Back

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

Front

How do you factor x^2 - 9x + 20?

Back

x^2 - 9x + 20 = (x - 5)(x - 4).

Front

What is the first step in factoring a trinomial?

Back

The first step is to identify two numbers that multiply to the constant term (c) and add to the linear coefficient (b).

Front

How do you factor k^2 + 7k + 10?

Back

k^2 + 7k + 10 = (k + 2)(k + 5).

Front

What is the factored form of x^2 + 9x - 36?

Back

x^2 + 9x - 36 = (x + 12)(x - 3).

Front

How do you factor x^2 + 7x - 30?

Back

x^2 + 7x - 30 = (x + 10)(x - 3).