Factoring when 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 when a=1 in factoring?

Back

When a=1, the quadratic expression is in the form x² + bx + c, making it easier to factor.

Front

Factor the expression: x² - 11x + 24

Back

(x - 3)(x - 8)

Front

Factor the expression: x² + 11x + 24

Back

(x + 8)(x + 3)

Front

Factor the expression: a² - a - 12

Back

(a - 4)(a + 3)

Front

Factor the expression: x² + 5x + 4

Back

(x + 4)(x + 1)

Front

Factor the expression: x² + x - 30

Back

(x + 6)(x - 5)

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 constant term in factoring?

Back

The constant term 'c' helps determine the factors of the quadratic expression.

Front

What is a common mistake when factoring quadratics?

Back

Forgetting to check if the factors multiply back to the original expression.