Factoring when 'a' is 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 does it mean when 'a' is 1 in a quadratic equation?

Back

When 'a' is 1 in a quadratic equation of the form ax² + bx + c, it simplifies the factoring process since the leading coefficient is 1.

Front

Factor the expression: a² - a - 12

Back

(a - 4)(a + 3)

Front

Factor the expression: x² - 2x - 15

Back

(x - 5)(x + 3)

Front

Factor the expression: x² + 5x + 6

Back

(x + 2)(x + 3)

Front

Factor the expression: r² - 16r + 60

Back

(r - 6)(r - 10)

Front

Factor the expression: x² + 7x + 12

Back

(x + 3)(x + 4)

Front

What is the first step in factoring a quadratic expression?

Back

Identify two numbers that multiply to 'c' and add to 'b' in the expression ax² + bx + c.

Front

What is the significance of the zero product property in factoring?

Back

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

Front

How do you check if your factors are correct?

Back

Multiply the factors back together to see if you obtain the original expression.