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 does it mean for two numbers to multiply to a positive number and add to a negative number?

Back

It means that both numbers must be negative, as the product of two negative numbers is positive, and their sum is negative.

Front

What are the steps to factor a quadratic expression of the form x² + bx + c?

Back

1. Identify two numbers that multiply to c and add to b. 2. Rewrite the expression as (x + m)(x + n) where m and n are the identified numbers.

Front

Factor the expression: x² - 9

Back

(x - 3)(x + 3) - This is a difference of squares.

Front

What two numbers multiply to 14 and add to -9?

Back

-7 and -2.

Front

What two numbers multiply to 21 and add to 10?

Back

7 and 3.

Front

Factor the expression: x² - 15x + 50

Back

(x - 10)(x - 5).

Front

What two numbers multiply to -40 and add to 3?

Back

-5 and 8.

Front

What two numbers multiply to -18 and add to 7?

Back

9 and -2.

Front

What is the significance of the quadratic formula?

Back

The quadratic formula provides a method to find the roots of any quadratic equation in the form ax² + bx + c = 0.