Factoring: 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 does it mean for two numbers to add to a specific value?

Back

It means that when the two numbers are combined through addition, they equal that specific value.

Front

What does it mean for two numbers to multiply to a specific value?

Back

It means that when the two numbers are combined through multiplication, they equal that specific value.

Front

Factor the following: What two numbers add to -6, multiply to 8?

Back

( x - 2 ) ( x - 4 )

Front

Factor the following: What two numbers add to -8, multiply to 15?

Back

( x - 5 ) ( x - 3 )

Front

Factor the following: What two numbers add to 9, multiply to 18?

Back

( x + 3 ) ( x + 6 )

Front

Factor the following: What two numbers add to -2, multiply to -63?

Back

( x - 9 ) ( x + 7 )

Front

Factor the following: What two numbers add to -4, multiply to -5?

Back

( x + 1 ) ( x - 5 )

Front

What is the relationship between the sum and product of two numbers in factoring?

Back

In factoring, the sum of the two numbers corresponds to the coefficient of the x term, and the product corresponds to the constant term in the quadratic equation.

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants.