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 to factor a quadratic expression?

Back

Factoring a quadratic expression involves rewriting it in the form (x - p)(x - q), where p and q are the roots of the equation.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.

Front

What is the significance of the leading coefficient in factoring?

Back

When a = 1, the quadratic can be factored more easily, focusing on finding two numbers that multiply to c and add to b.

Front

Factor the expression: r² - 16r + 60

Back

(r - 6)(r - 10)

Front

Factor the expression: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

Factor the expression: x² - 16x + 48

Back

(x - 12)(x - 4)

Front

Factor the expression: x² + 7x - 30

Back

(x + 10)(x - 3)

Front

Factor the expression: a² - a - 12

Back

(a - 4)(a + 3)

Front

What are the steps to factor a quadratic expression?

Back

1. Identify a, b, and c. 2. Find two numbers that multiply to ac and add to b. 3. Rewrite the middle term using these numbers. 4. Factor by grouping.