Factoring when a=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 the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c, where a, b, and c are constants.

Front

What does it mean when a = 1 in a quadratic equation?

Back

When a = 1, the quadratic equation simplifies to x² + bx + c, making it easier to factor.

Front

How do you factor a quadratic expression of the form x² + bx + c?

Back

To factor, find two numbers that multiply to c and add to b, then express the quadratic as (x + m)(x + n).

Front

Factor the expression: r² - 16r + 60

Back

(r - 6)(r - 10)

Front

Factor the expression: d² - 10d + 25

Back

(d - 5)(d - 5) or (d - 5)²

Front

Factor the expression: x² + 8x - 20

Back

(x + 10)(x - 2)

Front

Factor the expression: x² - 4x + 3

Back

(x - 1)(x - 3)

Front

Factor the expression: x² + 5x + 4

Back

(x + 4)(x + 1)

Front

What is the zero-product property?

Back

The zero-product property states that if the product of two factors is zero, at least one of the factors must be zero.