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 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 and a ≠ 0.

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 difference of squares?

Back

A difference of squares can be factored using the formula a² - b² = (a - b)(a + b).

Front

Factor the expression: 36a² - 16

Back

(6a - 4)(6a + 4)

Front

What is the factored form of x² - 9x + 20?

Back

(x - 5)(x - 4)

Front

How do you find the factors of a quadratic expression?

Back

To find the factors, look for two numbers that multiply to c (the constant term) and add to b (the coefficient of x).

Front

Factor the expression: x² - 16x + 48

Back

(x - 12)(x - 4)

Front

What is the factored form of x² - 5x - 24?

Back

(x - 8)(x + 3)

Front

Factor the expression: x² + 11x + 24

Back

(x + 8)(x + 3)